“Abraham begat Isaac; and Isaac begat Jacob; and Jacob begat Judas and his brethren;”
King James Version (KJV)
Mt 1:2 Abraham begat Isaac. Matthew begins with Abraham to trace the line down. He was writing for Jews, and Jewish history begins with Abraham. Luke (Lu 3:23-38), writing for Gentiles, goes back to Adam. For the differences between Matthew and Luke, see PNT "Mt 1:16".