Did Airbus add an audible alert when the autopilot partially disengage after the crash of Aeroflot Flight 593?
All Airbus aircraft from the A320 onwards currently do not have an method of disabling lateral or pitch control without the full disconnection of the autopilot. In the case that one of the controls fail, the autopilot will also disconnect.

In the case of the autopilot disconnecting fully, Airbus aircraft have an audible "cavalry charge" which sounds for 3 seconds if disconnected normally, and continuously (until cancelled) if due to a failure or a non-standard method of disconnecting the autopilot.