The A320 family does NOT have an auto function to apply yaw in the event of an engine failure. The system simply provides yaw damping to counteract adverse yaw due to roll to assist with turn coordination and yawing in turbulence. The rudder is a non fly-by-wire surface in all but the new A340-5/600. Yaw commands come from the flight control computers (ELACs) and not the FMGS (Flight Management System). I believe that the A330 is the same.