All you got to do is download Form 6 provided by the Election Commission of India. Fill out the form and submit the form to your nearest local Electoral Registration Officer.
Your address is needed by the Booth Level Officer (BLO) to verify your residence status. Therefore it is not essential for your address proof document to bear your name, but it needs to have the address of the place you are staying at.
Any one of the following document is acceptable for address proof:
Address verification usually takes place within 2 weeks of submitting your voter registration form. Booth Level Officer appointed by the Electoral Registration Officer verifies your address proof for each polling booth within a parliamentary constituency.