Tenchi Muyo! Daughter of Darkness
Young Yosho befriending Yuzaha
The movie, Daughter of Darkness, was actually based off the 12th out of 13 novels written by Naoko Hasegawa, a scriptwriter for the first season of Tenchi Muyo! Ryo-Ohki. In it, a girl named Mayuka arrives and claims to be Tenchi's daughter and her origin and connection to Yuzuha (the antagonist in this film) is investigated. Eventually it is revealed that Yosho had once tried to befriend Yuzaha on Jurai, not knowing her reputation as a demon, but she was driven away by the palace guard and she has held a misplaced grudge against him ever since . She concocted her plot as a means of revenge.
Hasegawa novels
This film is the only contact most non-Japanese fans have had with Hasegawa branch continuity. The first book of the series, The Hexagon of Love, was produced with the cooperation of Masaki Kajishima and briefly considered original canon. The second and third novels retell the story of the first season of Tenchi Muyo! Ryo-Ohki. but afterwards branch off into their own direction which is sort of a combination of both the OVA and Universe canons. None of the novels have been officially translated outside of Japanese, so little is known about the character development within them.
Okuda manga
Two official manga series have been created by Hitoshi Okuda - No Need For Tenchi and Shin Tenchi Muyo! (aka The All-New Tenchi Muyo!). Based on the OVA series and branching off after episode 13.5. The manga series generally has a lighter attitude than the anime series and the characters personalities reflect this.
Ai Tenchi Muyo!
Along with a couple other key omissions, Katsuhito/Yosho does not appear in Ai Tenchi Muyo.