Cosmetics are not registered with the FDA, but the FDA regulates cosmetics and their labeling. Claims that intended to affect/change structure of skin, hair or body are considered drug claims by the FDA. Any product with these claims will be considered not-approved drugs, and selling not approved drugs is illegal.
Yes, you can sell on Amazon. They will ask for this documentation. We have Certificate of Analysis (CoA) documents for your products that we can provide. Onoxa offers FBA prep services where we can ship directly to Amazon’s various distribution centers. The charge for the extra labeling requirements is $35/hour billed in 15-minute increments.