Shinde attended the state cabinet meeting earlier this week.
Leader of Opposition in the Assembly Devendra Fadnavis also claimed that a quota for Muslims would be unconstitutional and affect OBC and Maratha reservations.
The Maharashtra CM also has clipped powers of powerful Shiv Sena ministers in his Cabinet.
The Congress, which has got 12 berths in the Uddhav Thackeray-led government, wants two additional departments relating to rural areas.
Exactly two weeks after its inception, the ruling Maharashtra Vikas Aghadi (MVA) on Thursday declared the portfolio allocation among its ministers.
Requested Chief Minister Uddhav Thackeray to name Nagpur Mumbai Samruddhi Mahamarg as Shiv Sena Pramukh Balasaheb Thackeray Marg, he said.