This site's own FAQ addresses this directly: no dietary supplement is FDA approved, because the FDA does not approve supplements before they are sold.
Worth reading this as this site clarifying a common point of confusion that applies to every dietary supplement on the market, not a limitation unique to Golden Brain.
This FAQ answer continues directly: Golden Brain is described as made in the USA in a GMP-certified, FDA-registered facility — worth reading that as the separate, distinct claim this site can make about manufacturing oversight.