Who were Lot's descendants?
Lot lost most of his family during the destruction of Sodom and Gomorrah. "And while he lingered, the men took hold of his hand, his wife's hand, and the hands of his two daughters, the LORD being merciful to him, and they brought him out and set him outside the city" (Genesis 19:16). His wife became infamous by looking back despite the angel's warning not to do so and became a pillar of salt. (Genesis 19:26).
They lived for a short while in the town of Zoar, but it wasn't long before Lot and his daughters moved up into the mountains to live in a cave (Genesis 19:30). The verse mentions that Lot was afraid to live in Zoar. One thought is that he was afraid that Zoar might also be destroyed, so he left where he did not have anyone near him. Another idea is that Lot and his daughters were viewed with suspicion by the people of Zoar. After all, they came at a run and just as they entered the city the plains erupted in a huge destruction. People tend to be suspicious of odd coincidences.
Lot's daughters decided that the life of hermits was not conducive to finding husbands and decided to take matters into their own hands. They got their father drunk and then had sex with him. From this incestuous relationship came two boys: Moab and Ben-Ammi (Genesis 19:36-38). Moab became the founder of the Moabite nation. Ben-Ammi founded the Ammonite nation.
Since Ruth was a Moabitess (Ruth 1:4) and she was David's great-grandmother (Ruth 4:13-22), then you can correctly claim that David and his lineage descended from Lot. Jesus was one of those descendants, so Jesus also descended from Lot (Luke 3:23-32).