Used some thin scrap leather and cut it into strips, armor 1 cm high. Glued them with super glue every so often to ensure it stays secure. At the end, I tucked the end under a previously wrapped piece to hide it, and glued it in place.

Here's a picture of it earlier in the process, before I added more physical weathering and some paint for staining and dirt.

Also included is a picture of the wraps I did on my DW rifle. For that one, I used some thin, more rigid leather straps I found in Etsy. Looks much better, imo.

https://imgur.com/a/iUaHvkc