Dear Vedant,

There are many colleges in MHT CET which provides automobile engineering branch.

You can check the complete list from the given below link

https://engineering.careers360.com/colleges/list-of-engineering-colleges-in-India?f%5B0%5D=sm_college_course_level%3AUG&f%5B1%5D=sm_college_degree%3AB.E%20/Btech&f%5B2%5D=sm_course_offered%3AAutomobile%20Engineering&f%5B3%5D=sm_quali_exam%3AMHT%20CET

If you want to take admission in government colleges you need a domicile certificate of Maharashtra. Other state students are eligible to take admission in private engineering colleges. 

Good Luck!!