Very Weird Question

Okay this may be a little much, but I'm just curious. For the past couple of times I've had a bowel movement when I'm done I've seen what looks like pieces of my mucous plug with tinges of dark red/brown in it. It's not poop. It definitely looks like mucous. But when I pee I just get a lot of discharge. Could it be because I have to bear down when I have a bowel movement? Or is it not the any part of the mucous plug. Very confused by it. Not worried or anxious as I'm not having any contractions or anything else. Just curious.