If you see the claim that a dietary supplement is made in an “FDA-approved” lab or other facility, don’t believe it.
The FDA doesn’t “approve” any type of facility or company, and it doesn’t review and approve the supplements themselves. Similarly, be skeptical when medical devices (such as laser devices to grow hair or treat toenail fungus) claim to be FDA-approved. Unlike new drugs, most devices are just “cleared” by the FDA, which merely means they are “substantially equivalent” to similar devices already on the market, not that they necessarily work.
For more about what the FDA does and does not approve, go to FDA.gov.
Also see Supplement Claims: What's Allowed.