The Six Paths Sage Technique requires three things: Rikudou Chakra, Senjutsu Chakra, and the chakra of the nine bijuus/Juubi. Naruto should still have the chakra given to him by Hagoromo, but as he used up most of the chakra given to him by the bijuu [
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] during his fights with Madara/Kaguya/Sasuke, he can't access that mode. Though, that's not to say that having Rikudou's chakra doesn't increase speed, strength, etc. However, as Hagoromo stated, Naruto possesses a connection to all the bijuu via the small portion of chakra that he has [
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]. Naruto could call upon the other bijuu to lend him more of their chakra, which would give him access to the full abilities of the Sixs Paths Sage Mode (TSB, Flight, etc.).
Why he didn't do so in the movie could be a matter of distance, considering Naruto is fighting on the moon or that Studio Pierrot doesn't want to spoil Naruto's Rikudou Mode abilities for anime only watchers. There's no evidence from what I've seen that he uses any of the abilities of RSM in the movie.