Hello

Since you do not have the domicile of Maharashtra you fall under All India Candidature. In All India Candidature - The allotment to the engineering seats shall be done through CAP on the basis of score of JEE (Main)Paper I score and then if the seats remains vacant, on the basis of MHT-CET score.

After writing any of the two or both of the exams apply on DTE for CAP counselling and admission. However you will be eligible for only the private colleges in Maharashtra as you do not have the domicile (except the ones that give admission on basis of JEE Mains).

For more details you can check

https://engineering.careers360.com/articles/mht-cet-eligibility-criteria