Green card and Your US passport will do for your travel. How long are you planning to stay in your home country? If it is for a short duration ( less than six months), then you will have no problem in maintaining your continuous residence in the US.
am travelling out of us for first time after getting my gc.am going back to my home country.
What documents do I need to travel out and ...?
what documents do I need to get back to us....?
Please be specific. Thanks.