Board Thread:Theories and Speculation/@comment-33030270-20170919172249/@comment-734582-20170919185157

Elveonora wrote: But the databook confirms that Kaguya already had the Byakugan before eating the Earth Shinju's chakra fruit, but then again, she also already had chakra. I think she used whatever process Momoshiki and Kinshiki used to obtain some power of the fruit. I mean, we know Kaguya is the first to possess natural chakra, so that implies that other Otsutsuki possessed chakra by artificial means. And the Boruto Movie kind of answers that with their pills made by processing the fruit.

Momoshiki, in the manga, suggests that the otsutsuki pass on power by absorbing their parent figure, so evidently naturally passing on power is a foreign concept. Which also explains why Kaguya was shocked that her children had power at all.