And he offered new offerings in genesis

I think you may be referring to the story of Cain and Abel in the book of Genesis, chapter 4. According to the biblical account, Cain and Abel, the two sons of Adam and Eve, both brought offerings to God.

Abel, a shepherd, brought the "firstlings of his flock and their fat portions" (Genesis 4:4), which were accepted by God. On the other hand, Cain, a farmer, brought "an offering of the fruit of the ground" (Genesis 4:3), which was not accepted by God.

The reason for this difference in God's acceptance is not explicitly stated in the biblical account, but it is often interpreted as a reflection of the differing attitudes and motivations of the two brothers. Abel's offering was seen as a symbol of his gratitude and trust in God, while Cain's offering was seen as a mere obligation or duty.

As a result of God's rejection of his offering, Cain became angry and jealous, leading to a tragic confrontation with Abel, which ultimately resulted in Abel's death (Genesis 4:8). This event is often seen as a symbol of the destructive power of jealousy and the importance of living a life of faith and obedience to God.

So, to answer your question, Cain's offering in Genesis was not accepted by God, whereas Abel's offering was accepted.