Through regulations, the U.S. Food and Drug Administration (FDA) assures American consumers that foods are pure and wholesome and that drugs, medical devices, and cosmetics are safe. The FDA requires U.S. manufacturers to go through rigorous testing and inspection.
Many countries have their own versions of the FDA. If you're exporting products covered by the regulations of the FDA, you must also comply with the laws of the country to which the goods are being shipped and make sure that the product is properly labeled and meets the specifications of the foreign purchaser.
Ultimately, the importer is responsible for complying with his local regulations; otherwise, he won't be able to clear the goods through his country's Customs organization.