A quick idea for turning a single vertical cylinder into dual horizontal movement.
Cylinder attaches to horizontal rod running most of the length of the crossmember in the cross.
On each end of the rod is a cam.
Opposite corner of each cam is a rod facing the front of the cross - these rods attach to the doors.
Lower front point of each cam is the pivot point.
The cams turn the vertical movement of the cylinder into the horizontal movement of the rods pushing/pulling the doors.