In the Sinai Covenant, God made a covenant with the Israelites through Moses on Mount Sinai. The covenant included the giving of the Ten Commandments and other laws which the Israelites were to follow. It established rules for the Israelites to live by, and outlined the consequences for obedience and disobedience.
Moses
God made many covenants in the Old Testament, but I assume you are speaking about the "New Covenant" vs the "Old Covenant" which God gave Israel through Moses at Mount Sinai. The "New Covenant" or second was mentioned in the Old Testament several times as a covenant which was yet future. The "New Covenant" started in the New Testament when Jesus Christ died on the cross of Calvary, was buried, and was resurrected the third day. The 'Old Covenant" was by Law and the "New Covenant" was by grace.
The Exodus from Egypt, and the first celebration of Passover the same night (Exodus ch.12) was about two months before the covenant at Sinai (Exodus ch.19 and 24). The connection is that the Exodus, as great as it was, served as just a backdrop and preparation for an even greater event, which was when God gave the Torah at Mount Sinai (the Sinai covenant).
Judaism. At the time of the covenant itself, it was simply called the Torah.
Covenants are contracts between God and mankind. They are consistent and ever-enlarging beginning from the Noahic Covenant, the Abrahamic Covenant, the Mosaic Covenant (aka Sinai Covenant), the Davidic Coventant, and the capstone or culminating New Covenant. Though men break covenants, God keeps His promises.
The Jews must obey the Torah and God will treasure them and give them peace prosperity and offspring.
This is the point in the Biblical narrative that the law was given to the people of Israel at Mt. Sinai. It is the culmination of all other covenants.
The second covenant was not made between God and Abraham. It was made between God & Moses at Mount Sinai. This is where the ten commandments originated.
New Mount Sinai Cemetery was created in 1850.
The Ten Commandments are traditionally kept in the Ark of the Covenant. According to biblical accounts, they were inscribed on two stone tablets given to Moses on Mount Sinai.
Judaism is defined by a covenant between the Jewish people and God. Jewish tradition holds that this covenant was made at Mount Sinai, and that the Torah is the document that defines the terms of the covenant. The tradition identifies 613 mitzvot, commandments, in the Torah, and that Jews are obligated by these commandments as their part of the covenant.