Has the reincarnation of Indra and Ashura ended? Has the reincarnation of Indra and Ashura ended, after Naruto and Sasuke fight? Or will there be new reincarnation of them again, looking for new hosts ?
I thought that through the series it was going to be explain, what happened for the current incarnations Naruto and Sasuke, until the end of the series. 

According to Naruto wikia:


  The reincarnation cycle will not start again until both of the current reincarnations have passed away; the brothers would not reincarnate until Madara's death, which would occur decades after Hashirama's. 


Also on top of the page, it says: Naruto Uzumaki, the current reincarnation of Asura.

The only thing that differs with Naruto and Sasuke was that they didn't have the same conclusion, as the previous reincarnations:


  Ultimately, Naruto managed to accomplish what all of the previous
  reincarnations had failed to do: end the rift between the two lines of
  the reincarnated brothers. Naruto achieved this after defeating
  Sasuke, who finally accepted Naruto's ideals at the end of their
  fight. This brought about the end of the bitter feud that had lasted
  for centuries. According to Black Zetsu, the reincarnations of Indra
  and Asura were almost always in conflict with each other and rarely
  worked together. Naruto and Sasuke are one of the exceptions, assuming
  other exceptions have existed throughout the centuries.