@Mi**
You don't need to turn in any paperwork that I am aware of.
IF you already did a TM.30 form you have the receipt in your passport now, you take that in (within 24 hours of you getting back into the country and back home) and they will put a new date stamp on it, AND they update their information in the system with your new departure card number.
Then when you come back from the US you do the same thing.
I know people who travel a lot that have 5 or 5 different dates stamped on their original TM.30 receipt.