One match suspension and loans

Just been watching the Everton v Newcastle match and it was pointed out after Gaz Baz handballed whilst on a yellow.
What would happen if he had been sent off: would he serve his one match suspension against us despite being unable to feature; or would it be carried over to their next match?
What would happen if he had been sent off: would he serve his one match suspension against us despite being unable to feature; or would it be carried over to their next match?