This formula's own materials are direct about this specific distinction: FDA registration means the facility is listed with the agency and subject to inspection — not the same as FDA approval of the product.
Facility registration means the manufacturing site is listed with the FDA and subject to certain inspection requirements — a separate process from FDA approval, which no dietary supplement receives, as this formula's own materials point out by linking directly to the FDA's own dietary supplements page.
This formula's own materials explicitly separate this claim from an approval claim, rather than letting the two blur together — worth applying that same careful reading to any similar manufacturing badge you encounter elsewhere.