Dear Riya, 

The tentative date of start of applying for maharastra state quota is around 1st week of June and provisional merit list release tentative date is around 3rd week of June with document verification around 4th week of June.

These dates are tentative as officially nothing is declared by DMER(official site for maharastra state neet counselling) And is based on previous years. You can keep referring to the notice board at dmer and career 360 site for further updates .DMER link is provided below.All the best for your counselling. 

https://www.dmer.org/new/index3.htm