The Trump administration can simply decide to NOT distribute the money.
Heck, just because Congress appropriates money doesn’t mean Trump can’t close them down.
The refusal by the Executive Branch to spend appropriated moneys is called impoundment, and it was a tool used very effectively by Richard Nixon, until the hounds of Congress rammed through a restriction on his authority to do so, claiming it was a breach of his Constitutional duties.
I do not know if this same restriction on impoundment still exists today. Nixon did not pursue the lifting of the restrictions because, frankly, in 1973 he had a LOT of other political problems.