What does Genesis 19:37 mean?

Lot and his two grown, virgin daughters were rescued from the annihilation of Sodom and Gomorrah by two angels (Genesis 19:15–16). During this escape, the entire culture of Sodom was wiped out, along with the girls' mother and their prospective husbands (Genesis 19:24–26). While sheltering in a cave, the women despair of ever finding husbands or having children. This lack of faith is unsurprising, given that their father chose to anchor his family in such a depraved culture. Unfortunately, that same depravity is reflected in the plan Lot's daughters concoct in order to bear children: to get their father so drunk that they can have sex with him.

On consecutive nights, Lot's own daughters carry out this very plan. They make him so inebriated that he doesn't even realize what is happening (Genesis 19:33, 36). His own children sexually abuse him in order to become pregnant.

The son of the firstborn daughter was called Moab. This word sounds similar to the Hebrew term meaning "from father." He became the father of the Moabite people, who would later become enemies of Israel. Likewise, the younger daughter bears a son named Ben-ammi, whose Ammonite descendants are also antagonistic towards God's people.