not glued to the rubber, the headliner is glued to the roof skin before the rubber is installed, the rubber is simply a trim piece to cover the edges of the headliner, which from the factory was glued in .... I've found 'pinching' the rubber just right opens the slot a bit so it can be slipped on, a thin piece of hardwood to force the edge in behind the lip helps, but you just have to struggle with it 'til it's on
Bill