Counterfeit is different than generic: it was explicitly defined in Section 202 of SOPA as "falsely representing the source, manufacturer or distributor." As I wrote in a previous essay "You can still buy your overseas boner pills; they're just less likely to say Viagra on them."
The USDA can identify the source of bad pork; the FDA similarly needs to investigate bad batches of medicine.
Interesting - that means if I manufacture & package my own pills, with my own logo, but print "contains Sildenafil" on the box when it doesn't, that does not qualify as counterfeiting?
In that case, you'd likely be charged under a fraud statute (misrepresenting a product) versus counterfeiting (misrepresenting the source of a product). Selling a sugar pill isn't a trademark violation. Stamping Viagra on it is.
The USDA can identify the source of bad pork; the FDA similarly needs to investigate bad batches of medicine.