Hi,
Are you using the "play animation" action to animate your lift?
if so, there is a "finish event". simply create en event called "lift arrived" or something, and add this event as a transition on that state, and select this very event in the "finish event" of the "play animation" on that state.
so, when the lift animation has finished, it will transit to that event and go to another state, that other state will play the animation that opens the door.
If you have problems with this, can you share a package with the lift and door animation? will see what can be done.
Bye,
Jean