The Gemara explains this verse. Abraham said: Master of the Universe, perhaps the Jews will sin before You. Will You treat them as You did the generation of the flood and the generation of the dispersion, and destroy them? God said to him: No. Abraham said before God: Master of the Universe, tell me, with what shall I inherit it? How can my descendants ensure that You will maintain the world? God said to Abraham: “Take for Me a three-year-old heifer, and a three-year-old goat, and a three-year-old ram, and a turtledove, and a young pigeon” (Genesis 15:9). God was alluding to the offerings, in whose merit the Jewish people, and through them the entire world, will be spared divine punishment. Abraham said before God: Master of the Universe, this works out well when the Temple is standing, but when the Temple is not standing, what will become of them? God said to him: I have already enacted for them the order of offerings. When they read them before Me, I will ascribe them credit as though they had sacrificed them before Me and I will pardon them for all their transgressions. Since the offerings ensure the continued existence of the Jewish people and the rest of the world, the act of Creation is read in their honor.
History of the Jewish People, H.H. Ben-Sasson, p. 173
[In regards to the Jews of Babylonia during and after the exile] Worship was now decentralized. Apparently each community met in an assembly, and it might be supposed that their houses of assembly became a place of worship. If so, this was the origin of the synagogue, the focal point of the Jewish community in later times.
History of the Jewish People, H.H. Ben-Sasson, p. 285
Of all the institutions developed by Judaism in the Second Temple era, the synagogue is perhaps the one that exercised the greatest influence on later generations. It has been rightly said that, in establishing the synagogue, Judaism created one of the greatest revolutions in the history of religion and society, for the synagogue was an entirely new environment for divine service, of a type of unknown anywhere before, and it did not entail the ceremonial restrictions and financial sacrifices that were required for the maintenance of the temples. ... The synagogue was the instrument that kept Jewish tradition and the Jewish faith alive and that made them accessible to the rank and file of the Jewish people. Its functions extended to many areas: it was a house of Torah study and of Prayer, but also a focus of social and cultural life.
(Above) The ruins of the the ancient synagogue in Capernum on the norther shore of the Kinneret (Sea of Galilee).
History of the Jewish People, H.H. Ben-Sasson, p. 325-326
At the academy of Jabneh, ceremonies were developed to adapt to the new conditions those festivals that could no longer be observed by pilgrimage to the Temple in Jerusalem. ... While the Temple stood all [the elements of the Passover seder] centered on the Passover sacrifice, even the eating of the unleavened bread and the bitter herb was of lesser importance.,. With the destruction of the Temple, this entire ceremonial might have fallen into disuse. But at Jabneh the order [seder] of the Passover eve was given a new image. The scholars of Jabneh ruled the commandment to eat unleavened bread and bitter herbs remained in force even without the sacrifical lamb... and the signifigance of the meal was underscored by the formulation of an accompanying text, the Haggadah.
The Gemara asks: And from where do we derive that rain must be mentioned specifically in the Amida prayer? The Gemara answers: As it was taught in a baraita with regard to the verse: “To love the Lord your God and to serve Him with all your heart” (Deuteronomy 11:13). Which is the service of God that is performed in the heart? You must say that this is referring to prayer. And, afterward, it is written: “And I shall give the rain of your land in its due time, the first rain and the last rain” (Deuteronomy 11:14). This juxtaposition teaches that it is appropriate to request rain while engaged in the service of the heart, i.e., prayer.
איתמר רבי יוסי ברבי חנינא אמר תפלות אבות תקנום רבי יהושע בן לוי אמר תפלות כנגד תמידין תקנום תניא כוותיה דר' יוסי ברבי חנינא ותניא כוותיה דרבי יהושע בן לוי תניא כוותיה דרבי יוסי בר' חנינא אברהם תקן תפלת שחרית שנא' (בראשית יט, כז) וישכם אברהם בבקר אל המקום אשר עמד שם ואין עמידה אלא תפלה שנאמר (תהלים קו, ל) ויעמד פינחס ויפלל יצחק תקן תפלת מנחה שנאמר (בראשית כד, סג) ויצא יצחק לשוח בשדה לפנות ערב ואין שיחה אלא תפלה שנאמר (תהלים קב, א) תפלה לעני כי יעטף ולפני ה' ישפוך שיחו יעקב תקן תפלת ערבית שנאמר (בראשית כח, יא) ויפגע במקום וילן שם ואין פגיעה אלא תפלה שנאמר (ירמיהו ז, טז) ואתה אל תתפלל בעד העם הזה ואל תשא בעדם רנה ותפלה ואל תפגע בי ותניא כוותיה דר' יהושע בן לוי מפני מה אמרו תפלת השחר עד חצות שהרי תמיד של שחר קרב והולך עד חצות ורבי יהודה אומר עד ארבע שעות שהרי תמיד של שחר קרב והולך עד ארבע שעות ומפני מה אמרו תפלת המנחה עד הערב שהרי תמיד של בין הערבים קרב והולך עד הערב רבי יהודה אומר עד פלג המנחה שהרי תמיד של בין הערבים קרב והולך עד פלג המנחה ומפני מה אמרו תפלת הערב אין לה קבע שהרי אברים ופדרים שלא נתעכלו מבערב קרבים והולכים כל הלילה ומפני מה אמרו של מוספין כל היום שהרי קרבן של מוספין קרב כל היום רבי יהודה אומר עד שבע שעות שהרי קרבן מוסף קרב והולך עד שבע שעות
It was stated: Rabbi Yosei, son of Rabbi Ḥanina, said: The practice of praying three times daily is ancient, albeit not in its present form; prayers were instituted by the Patriarchs. However, Rabbi Yehoshua ben Levi said that the prayers were instituted based on the daily offerings sacrificed in the Holy Temple, and the prayers parallel the offerings, in terms of both time and characteristics.
It was taught in a baraita in accordance with the opinion of Rabbi Yosei, son of Rabbi Ḥanina: Abraham instituted the morning prayer, as it is stated when Abraham came to look out over Sodom the day after he had prayed on its behalf: “And Abraham rose early in the morning to the place where he had stood before the Lord” (Genesis 19:27), clearly, Abraham was accustomed to stand in prayer in the morning.
Isaac instituted the afternoon prayer, as it is stated: “And Isaac went out to converse [lasuaḥ] in the field toward evening” (Genesis 24:63), and conversation means nothing other than prayer, as it is stated: “A prayer of the afflicted when he is faint and pours out his complaint [siḥo] before the Lord” (Psalms 102:1). Obviously, Isaac was the first to pray as evening approached, at the time of the afternoon prayer.
Jacob instituted the evening prayer, as it is stated: “And he encountered [vayifga] the place and he slept there for the sun had set” (Genesis 28:11). The word encounter means nothing other than prayer, as it is stated when God spoke to Jeremiah: “And you, do not pray on behalf of this nation and do not raise on their behalf song and prayer, and do not encounter [tifga] Me for I do not hear you” (Jeremiah 7:16). Jacob prayed during the evening, after the sun had set.
And it was taught in a baraita in accordance with the opinion of Rabbi Yehoshua ben Levi that the laws of prayer are based on the laws of the daily offerings: Why did the Rabbis say that the morning prayer may be recited until noon? Because, although the daily morning offering is typically brought early in the morning, it may be sacrificed until noon. And Rabbi Yehuda says: My opinion, that the morning prayer may be recited until four hours into the day, is because the daily morning offering is sacrificed until four hours.
And why did the Rabbis say that the afternoon prayer may be recited until the evening? Because the daily afternoon offering is sacrificed until the evening. Rabbi Yehuda says that the afternoon prayer may be recited only until the midpoint of the afternoon because, according to his opinion, the daily afternoon offering is sacrificed until the midpoint of the afternoon.
And why did they say that the evening prayer is not fixed? Because the burning of the limbs and fats of the offerings that were not consumed by the fire on the altar until the evening. They remained on the altar and were offered continuously throughout the entire night.
And why did the Rabbis say that the additional prayer may be recited all day? Because the additional offering is brought throughout the entire day. However, Rabbi Yehuda says that the additional prayer may be recited until the seventh hour of the day, because the additional offering is sacrificed until the seventh hour.
Didn’t Rabbi Yoḥanan say in the name of Rabbi Shimon bar Yoḥai himself: For what reason did the Sages institute that the Amida prayer should be recited in a whisper? So as not to embarrass transgressors who confess their transgressions during their prayer. There is proof that transgressors should not be embarrassed, as the verse detailing where different offerings are slaughtered does not differentiate between the place where a sin-offering is slaughtered and the place where a burnt-offering is slaughtered, so that it will not be recognized when one is bringing a sin-offering and the sinner will not be embarrassed. This shows that one should also say that which is to his discredit quietly.
A History of the Jewish People, H.H. Ben-Sasson, p. 362
[In 614 C,E.] The Persians handed Jerusalem over to Jewish settlers, who proceeded with the expulsion of the Christians and the removal of their churches. ... The sacrifical cult may have been resumed. Jewish rule in Jerusalem lasted three years [until a reversal of Persian policy favored the Christians - 70 years later, in 687 C.E., construction began on the dome of the Rock by Muslim builders on the site of the Temple].