Upvote:1
Just use your current passport to enter/exit India, and your green card to re-enter the US.
Your old passport is irrelevant.
Upvote:5
One does not generally need old passports when traveling. You have everything you need to travel between India and the US. To leave and enter the US, you need nothing more than your valid green card. To enter and leave India, you need nothing more than your valid Indian passport.
what should I do?
Bring both documents with you and enjoy your trip.
If the green card shows your former name, that is, your name before you were married, then you can bring a copy of your marriage certificate as proof of your name change.