sounds like he should be using an obd1 ecu, as its easiest to just plug the 94 motor into the 92 car.
regardless, if you have an obd1 ecu just plug the engine harness into the carside harness and you should be fine.
and your mount should be fine, the only differences with the older integra's is the automatic vs manual transmissions and their mounts. but it sounds like its a 5speed which means everything should be fine.
if i were you, i'd just use the civic's engine harness, make sure you're using an obd1 ecu, and go from there.