Leia was visited by Anakin Skywalker in The Truce at Bakura. Leia ends up coming to terms with her father being redeemed, a part of that was naming her son Anakin, Anakin Solo. and seeing the good in him. Tatooine Ghost. Her son died in the Vong Wars, New Jedi order.
Her other son became the next Darth Vader, Jacen Solo/ Darth Caedus, and her daughter Jaina who was trained by Boba Fett had to kill him in a personal duel to the death. Jacen had murdered Boba Fett’s daughter. And Jacen did not join the Jedi afterlife, he was not redeemed. But Leia and Han adopted their evil son’s daughter as their own. Allana Solo.

The Next generation of Jedi would be Allana Solo, Jaina Solo and Ben Skywalker, the son of the slain Mara Jade Skywalker. Mara was murdered by Jacen Solo, it was his ascension to Sith apprentice. And Ben was the son of Grandmaster Luke Skywalker.

Jacen’s Sith Master was none other than Lumiya/Shira Brie the Dark Lady of the Sith. And he had been corrupted by Vergere who was also a Sith. He wanted Ben Skywalker to be his apprentice. But Tahiri Veila ended up being his agent and assassin and sort of apprentice.

Of course this is now legends.