How would you describe the movement of a lever?

"Elevated" or "raised"

After you put a coin in the slot, the barrier would be elevated automatically.

After you put a coin in the slot, the barrier would be raised automatically.

Technically the device can indeed be considered a lever, since there is a pivot inside the machine and a mechanism that moves part of the bar a small distance so that the long part of the bar moves a long distance. However most people would call it a barrier rather than a lever, because - from their point of view as end-users - the role of the pole is to bar entry to the car park, rather than to help them move something.