This site's own manufacturing-claims section is direct about this distinction: facility registration is a manufacturing requirement, not FDA approval of the product itself.
Dietary supplements are not FDA-approved the way medications are — an FDA-registered facility means the manufacturing site meets registration requirements, worth understanding as a separate thing from product-level approval.
Explicitly separating these two claims — rather than implying broader FDA endorsement — is a more transparent framing than many similar sites in this category use.