The censor board chairman had last week asked the erstwhile Mewar royal family to be a part of a panel to help certify Bhansali's period drama, Padmavati.
However, a special panel that reviewed the film consisted of two Rajasthan-based historians R S Khangarot, principal of Agrawal College in Jaipur, and B L Gupta, retired head of the History department and professor K K Singh from Udaipur.
The groups, however, say they will continue to raise objections, despite the changes asked by the censor board in the film.
Earlier, appearing before the parliamentarian panel, director Sanjay Leela Bhansali mentioned that the movie - featuring Bollywood stars like Shahid Kapoor, Deepika Padukone and Ranveer Singh - is based on "Padmavat" - an epic 16 century poem by Malik Muhammed Jayasi.
The organisation marked its protest within an hour of the CBFC decision, which also included a change in the name of the movie to "Padmavat".
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This forced the makers to defer the release of the film on Dec1.
Protesters have said the alleged depiction of romance between legendry Hindu queen Padmini and Delhi Sultanate ruler Alauddin Khilji insults the Rajput community. "I am glad that following a balanced approach we resolved the task at hand in a pragmatic and positive manner", CBFC chief Prasoon Joshi said. "Panel member had insights & also some reservations regarding claimed historical events & socio-cultural aspects which were duly discussed at length", it added.
Earlier in the day, the CBFC has suggested few modifications in "Padmavati", which include changing the film's title to "Padmavat", after which it would be given a UA certificate.
Rajput organisations, including Karni Sena came against the movie openly and called for a nationwide ban. "They are in agreement with the modifications", the Board said. The Sri Rajput Karna Sena is still against the film.
There has also been opposition over including the controversial Ghoomar song in the movie. They even burnt the sets of the movie in outskirts of Mumbai.