Brand Registry Question

I’m new to this and trying to list my first product on Amazon. I have my own product being manufactured right now and already have a UPC from GS1 for it. My company is legally registered as Recover Products, LLC and my product is a pain relief gel. If I try to add my product with a generic brand name, I get an error that the SKU doesn’t match any ASIN. I opened at ticket and am being directed to registering my brand, which I guess is because that’s where the UPC is connected to?

The product label I had made says RECOVER and then underneath that it says MUSCLE THERAPY. Will that cause issues because my brand is licensed as RECOVER PRODUCTS? In other words, do I need the PRODUCTS portion of the brand name printed on the label?