This fits into fraudulent or deceptive advertising. If someone advertises services and says they have a degree when they don't, that's called fraud.
If it involves consumer-related services, its a fraudulent business practice.
The very basis of advertising law is that the advertiser not engage is false and misleading, deceptive advertising. The FTC (federal trade commission) is the consumer watchdog. It primarily handles issues, which relate to consumer protection. Both state and federal attorney generals also handle such matters. The FTC has been granted expanded enforcement capabilities, with a recent decision in the Wyndham case. If you feel a business owner is misrepresenting its credentials, file a claim with the FTC and/or your Louisiana Attorney General's office.