Were the Noahide Laws a tannaitic response to Christianity?

I know they are attributed to Noah and as such long predate Jesus, but were they discussed or promoted before the surge of Christianity in the early centuries CE?
Please give citations in some kind of literature or excavation evidence that they were discussed as a distinct corpus before Christianity.
I would prefer some example of its recognition or implementation, but even a shred of evidence, such as Prue-Christian use of the term "Noahide" would be helpful.

Noah promotes bestiality

The time the laws came around was long before the Christian faith.
G-d "created the world that it might be settled". (Isaiah 45:18) This implies a level of civilized conduct, which can be achieved only when non-Jews also observe their matzot. Indeed, the perfection of the world that leads to the Messianic Era requires the spreading of the seven commandments that G-d through the Torah provided for all the nations of the world.

These are the Seven Noahide Laws, as enumerated in the Babylonian Talmud, Sanhedrin 56a:

carry out justice - An imperative to pursue and enforce social justice, and a prohibition of any miscarriage of justice.
no blasphemy - Prohibits a curse directed at the Supreme Being.
no idolatry - Prohibits the worship of any human or any created thing. Also prohibited is the making of idols and involvement with the occult. This necessitates an understanding of the One G-d of Israel and His nature.
no illicit intercourse - Prohibits adultery, incest, homosexual intercourse and bestiality, according to Torah definitions.
no homicide - Prohibits murder and suicide. Causing injury is also forbidden.
no theft - Prohibits the wrongful taking of anther's goods.
don't eat a limb of a living creature - Promotes the kind treatment of animal life. It also encourages an appreciation for all kinds of life and respect for nature as G-D's creation.
The authority of these laws derives from the verse, "And the Lord G-d commanded it upon the man?" (Gen. 2:16). They were given again to the nations of the world through the teachings of Moses at Marah (Ex. 15:25-16), but are known by the name of Noah because they first became fully applicable in his time, when meat-eating became permitted.

Paul ,a Jew ,warns us to beware of Jewish fables / and those that teach them - Titus 1:14 / 1 timothy 4:7

Moses was told that there was only to be 1 set of laws for all the people - Leviticus 24:22

does the law of gravity stop working just because a person claims to follow Noah but not Moses - Luke 16:31