Hello Nitin,

Non autonomus colleges are those college which are affiliated to Government Universities and follow their curriculum and syllabus. They are affiliated to a particular university which is prominent in that particular region and which regulates the activity of all the colleges affiliated to them. 

And autonomus colleges are opposite of this. They are independent and follow there own rules and regulations. If university is good than its good to take admission in non autonomus college.

Hope this will help you. All the best.