Awhad on Monday denied the charge and announced he would resign in view of "fake" cases being registered against him.
Thackeray-led Shiv Sena MP Sanjay Raut was in Arthur Road Jail for 102 days in connection with a money laundering case.
The complainant alleged that Awhad pushed her while making way for himself during the dispersal of the crowd afteran event of the chief minister in Mumbra.
Ahwad was arrested on Friday after he and his supporters stopped a show of "Har Har Mahadev" at a multiplex inside a mall, alleging the film distorted the history of Chhatrapati Shivaji Maharaj.
By dubbing the movie in different languages, there was a conspiracy to defame the Maratha warrior king, Awhad claimed.
The sessions judge, however, sent Awhad to two weeks of judicial custody, following which a bail application was submitted by Awhad’s lawyer.
Awhad was housing minister in the previous Shiv Sena-NCP-Congress government in the state.
“Incumbent Shinde-Fadnavis government should clarify whether they are - against or for - portraying the false history of ShivajiMaharaj.