Her Dojutsu looks a lot like the Sun, so it's most likely Amaterasu/Kagutsuchi related.
Sasuke's Rinnegan has nothing to do with MS, his MS ability is Kagutsuchi (in terms of his own). Sasuke is not crafted in Genjutsu either, his specialty lies somewhere else. It was improved overtime through his Rinnegan upgrade, however. Why people confuse his Dojutsu getting stronger = Everything else getting stronger as some kind of incentive that he's a Genjutsu master is beyond me. When he had MS the Manga made it clear his Genjutsu skills were inferior to that of Itachi's.
Though it would be interesting to see if his daughter was better than him too, as an MS user of course. Still it's too early to say tbh. Who knows if she'll even get Mangekyo Sharingan anytime soon with the recap being so slow.
Maybe in 5 years