Hagoromoo was not born with a byukgan, that part is factual.
Indra and Ashura should count as Otsutsuki, they cam edirectly from Hagormoo Otsutsuki himself.
Lol joking right? Rinnegan + Sharingan are both from the Juubi. Only person to natural have awakened it is Hagromo and Madara Uchiha. We do not know how Momoshiki got the rinnegan he had, but clearly it was no normal awakening, considering a normal awakening happens in the eyes. And especially when his original rinnegan was red, and didn't turn purple until he absorbed somebody's chakra. So that is not a normal rinnegan like Madara or Hagoromo's.
Same place from where a byukagan and Rinnegan came from.
Lol joking right? Rinnegan + Sharingan are both from the Juubi. Only person to natural have awakened it is Hagromo and Madara Uchiha. We do not know how Momoshiki got the rinnegan he had, but clearly it was no normal awakening, considering a normal awakening happens in the eyes. And especially when his original rinnegan was red, and didn't turn purple until he absorbed somebody's chakra. So that is not a normal rinnegan like Madara or Hagoromo's.
Bold: Cut the fan-fiction out of here because I know this is a joke. No where in the manga was this every stated. I don't use speculations as facts so you're completely wrong here.
Fact: Momoshiki, Madara, and Hagormoo both awakened/born with the rinnegan and the juubi was neither involved with any of them.
Whether it be purple, red, or even a tomoed one. A rinnegan is a rinnegan.
Except, Byakugan and Rinnegan don't come from the same place.
Uuuuuuhhhhhh so is every other Senju but guess what? None of them have mokuton either.
And Naruto who is an Ashura possesses Ashura's exact ability which is Rsm mode with gudodamas
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So Ashura having mokuton is nothing but pure speculations when Hashirama is the only incarnate known to have mokuton. Naruto is the only Ashura incarnate to blossom Ashura's exact abilities.