Summer Of Soul" is directed by the Roots frontman Ahmir Thompson, best known by his stage name Questlove.
The fans expressed their anger on Twitter, slamming the Academy for omitting the two Indian legends.
Pinkett Smith announced last year that she had shaved her head after struggling with alopecia. After Rock made his 'G.I. Jane' joke, she was seen not laughing and rolling her eyes.
The uncensored footage of the show had Rock saying, "Will Smith just smacked the shit out of me," as Smith was on his way to his chair. "Wow, dude. It was a G.I. Jane joke."
Will Smith, who had earlier slapped comedian Chris Rock across his face over a joke directed at his wife Jada Pinkett Smith, won the honour for Best Lead Actor owing to his performance in 'King Richard'.
"I thank my brilliant producers. Tanya Seghatchian, who's always by my side. Emile Sherman, Iain Canning and Roger Frappier. Netflix, your whole awesome team embraced this film from the very beginning. Thank you so very much," she said.
A teary eyed Smith kissed his wife Jada Pinkett Smith before going on the stage and then made an emotional speech.
'CODA' is about a teenage girl, who is the only hearing member of her family learning to connect with her deaf parents and brother through, of all things, her passion for singing.
The voting period will be open from February 14 to March 3. In addition, three Twitter users who cast their votes will be selected for an all-expenses paid trip to Los Angeles to present an Oscar award at next year's award show.
The Oscars shortlists cover 10 categories overall, including Documentary Feature; International Film; Animated, Live Action, and Documentary Shorts; Make-up and Hairstyling; Music Score; Original Song; Sound; and Visual Effects.