On aircraft such as the B-777 which employ the system it's called "rudder bias". The FAA would not let Boeing put rudder bias on the B-767 but encouraged its use on the B-777. It has all to do with the amount of thrust hanging on the wing. IMHO the FAA should have allowed Boeing to install rudder bias on the B-767.
The Airbus family up to the 34-300 series does not use rudder bias but if hand flying, engine out is easily handled and identified by steeping on the rudder beta bar in order to centre it. We were trained to apply rudder trim before engaging the autoflight system but I understand other operators engage the autoflight system immediately after 100' without trimming out the rudder. Unfortunately I never flew the 330 but I expect it to be the same as the earlier Airbus series.
Hope this helps..
Cheers