Hello aspirant,
I hope you are doing well and good. As you mentioned in your question that your Orissa domicile and you're asking for the previous year cut-off marks for state Quota counselling so according to data the candidates must have scored more than 350+ marks to get seat in government college. But your admission is depend upon the in which you belongs too and availability of  vacant seat.
I hope this information will help you.

Goodluck!