The Noahide laws are:
A few things...we know that NO ONE can keep all the laws perfectly - not the letter of the law and certainly not the spirit of the law. We ALL have broken one or all at some point. So, how do Noahides make atonement for their sins?
I have read what the seven Noahide laws are and I DO follow them but because I worship Jesus Christ as the true Messiah and Son of God, I am accused of breaking the first law. Though, I certainly think every one of these is good, I also know that there is far more that you are not saying and every Christian is automatically condemned according to those who are Noahides. This is why I have rejected it as the truth.
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The Noachide laws are a man made religion, just as much as Phariseeism and lawless christianity.
One cannot read Genesis without seeing that blood sacrifice was required (Cain and Abel), there were clean and unclean animals (instructions to Noah WRT how many of each kind to load up) so those obvious requirements have to be a part of what Noah lived by.
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> how do Noahides make atonement for their sins?
If he finds that he acted wrongly, then he should change his ways and conduct, and he should accept upon himself that henceforth he will act in the correct way, and he will stop transgressing the commandments that G-d has given him. A person should have regret for doing wrong and change his sinful ways, and ask for forgiveness from G-d for the sins that he transgressed. G-d certainly accepts sincere repentance, and forgives the repentant sinner for his transgression.