Is there any scope if I do aircraft maintenance engineering from a private institute recongnised by DGCA/

You should understand that AME course ends with a graduation degree in B.Sc. After you clear BAMEC and a AME License after you clear BAMEL. The License is issued by DGCA and the degree is awarded by the conducting university / college. This License allows the candidate to work as an aircraft technic

Hello Sandeep, Oh yes, there is plenty of scope for job opportunities after getting liscence from DGCA after completion of your AME. Best wishes.