OK. I spent some time last night photographing my NO COO Leia Organa Cape here goes:
Here is a straight shot of the back, you'll need to zoom right in to see the texture on the back of the cape.
Here's the back of the cape, held up to the light. If you zoom right in you should be able to see the cross hatch pattern. By coincidence, I had my Leia Bespin along side as well. If you look at the texture of this cape, it is the same (texture wise) to the Leia Organa.
Here's inside the cape, its smoother but still has a slight texture to it.
I also photographed my Snowtrooper cape, (which I'll put on the other forum page). Basically its the same material, but put on reverse. i.e. the textured side is on the inner & the smoother side the outer.