Yes, the mismatch would definitely create problems in the future, if not rectified.
Now, the question of rectification comes. First, you have to check which documents of yours (including AADHAR Card, PAN Card and Election Id Card) contain your correct name. Thereafter, on the basis of these documents, you apply for rectification. As for example, if your Graduation certificates indicate your name wrongly, apply for correction with photocopies of the documents which contain your correct name. As you have passed Graduation recently, in all probability, the University would rectify the mistake.
If the University declines to do so, you have to sign an affidavit indicating your correct name and also stating the wrong name indicated in your Graduation certificates. You have to publish advertisements in one English and in one Hindi newspapers. You will have to preserve the original affidavit and the advertisements permanently.
"If you are killed in action, you go to Heaven. If you win, you rule this Earth (as beautiful as Heaven). That is why, O son of Kunti, take a firm resolve and fight!"-- Shrimad Bhagwad Gita