they recover the bodies if the condition of the battlefield allows (by international law body recovery teams are not supposed to be attacked, but both sides in this conflict don't care about silly things like international law). if its their own men than they get body bagged and sent to the rear to be shipped home for burial, if it's an enemy combatant they can either bury them nearby and mark the grave with what info they can find out about them (name, rank, possibly what unit they were with if known) or else they ship the body to the rear as well where it will be kept in cold storage to be repatriated to the other side in an exchange. any recoverable weapons, ammo, and equipment is collected, with the local unit having first refusal of anything they want to keep for themselves, with the rest being sent back to the rear to be distributed out to other units.
United States