Add some core work to your Glute Bridge when your upper body is supported on your Core-Tex Sit. As you move through the primary movement at the hips, the trunk motion on Core-Tex Sit has to be controlled from the hips to the core. The motion of the trunk will also influence how the hip muscles work, adding some valuable variability to how the muscles are get stronger.
By placing one foot on your Core-Tex Sit while doing a Glute Bridge, the body will work to adjust to and stabilize against all of the motions of Core-Tex Sit. This adds new challenges to the glutes, hamstrings and lower back that you won't get with both feet on the floor.