I believe your Cougar is a 2022 model ??? If it is still under the initial 1 year warranty, your dealership may be able to file a warranty claim and get you two replacement recliner. I say "two" replacements because if one recliner has "pleather problems" the other likely will follow soon AND the replacement, if you get only one, may not match close enough to the original in color, thread pattern and style..... So, replacing both will get your problem fixed while still in warranty.
Otherwise, there is a type of "upholstery tape" that comes in sheets or rolls (like the old contact paper) that you can use to cover the problem area, depending on where the issue is on the chair. If that wouldn't work, then slip covers or possibly a local upholsterer can match the vinyl and repair the panels that have the flaking problem.
If you're still within the one year warranty, that's your "best bet"...
2015 F250 6.7l 4x4
2014 Cougar X Lite 27RKS