What does Genesis 19:36 mean?

Lot's two daughters had sex with their father on consecutive nights. Acting desperately, but very deliberately, they got him so drunk with wine that he didn't even realize what was happening (Genesis 19:33; 35). Both of Lot's daughters became pregnant through this sexual abuse of their own father.

Why would they do such a thing? Their stated reason was they assumed no man was left who would marry them and give them children. The men they were engaged to had been destroyed in God's judgment on Sodom and Gomorrah (Genesis 19:24–25). Their mother was dead (Genesis 19:26). Lot, apparently, had lost all of his wealth, and they were now living in a cave. In their view, there was nothing left for them.

Lot, apparently, had not taught his daughters to seek help from the Lord or to wait for Him to provide. That goes a long way to explaining their despair and scheming. At the same time, even the godless world outside of Sodom and Gomorrah would have regarded this kind of incest as wrong. The action of the daughters reflected the "anything goes" morality of the culture in which they were raised in. Sodom had been wiped from the face of the earth, but it had not been removed from the hearts of Lot's family. Lot had allowed his family to be deeply influenced by this cultural sin, and it certainly shaped his daughters' sense of morality.

Despite their humiliating origins, the sons conceived in this event become the fathers of significant people groups: the Moabites and Ammonites. As seems to be common in the Bible, their names serve as a reminder of the circumstances of their birth.