In trying to diagnose/fix a leak (details here), I cut a hole in the drywall near the shower. I found that immediately behind the drywall was some sort of barrier that was both rubbery and a little paper-like. For what it's worth, this barrier appears to be only on the back of the drywall -- I see bare wood on all other surfaces when I peer into the hole.
Someone suggested that this was a humidity/moisture barrier, but it doesn't look like the thin plastic sheets when searching that online. Any ideas on what this barrier is and how to patch it (or if I even need to)?
Edit: Based on an answer below, I added an Image 3 schematic of what I think the cross section looks like...
Image 1: Location of hole (green arrow):
Image 2: closeup of hole: