I can speak for my battalion in Desert Storm, every piece of equipment we took, that hadn’t been lost or destroyed, we brought back.
Desert Storm military gear ended up in USA, in Saudi Arabia or in Kuwait. Incursion into Iraq was not of a long duration - certainly no commander would have abandoned usable equipment in the territory of the enemy. Any tactical withdrawal or like lateral movement was preceded by destruction of any equipment and/or supplies the outfit was unable to take with them.