well, i would assume the ecu the swap comes with is obd1, since its a 94 motor.

if its from a 92,93 then the transmission will be cable, although you can still use this ecu. the fuel curves are not going to be the same as a 94,95 ecu but they will be close. you'll need to get a hydro transmission (cable can be used but the conversion kit is shitty) and you'll need the mounts as well. the wiring si very straight forward and since you don't need to wire vtec everything should plug in. since its been a while since i worked on a 2nd gen integra i can't remember if they use 4 or 5 wire o2 sensors, but i believe its a 4 wire o2 which means everything will plug in. and you'll need b-series axles.

so if you have an obd0 ecu and obd0 harness just use the civic harness and find an obd1 ecu. i don't know what you have, as i'm not looking at the swap, but anything 92-95 is obd1 and will work.