Board Thread:Theories and Speculation/@comment-26107879-20160222005417/@comment-1872728-20160222094851

I think Hagoromo inherited the Rinne Sharingan (Rinnegan), while Hamura inherited the "Tensei Byakugan" (Byakugan). Rinne Sharingan is the combination of Kaguya's Tensei Byakugan and Shinju's Sage abilities.

The Rinnegan can also manifest Truth Seeking Balls and Chakra Mode only if used with the Six Paths Sage Mode, since it's supposed to be used together as seen with Hagoromo. Also, that Chakra Mode would probably be red, since Obito did use red chakra arms to break through the Four Red Yang Formation.