Yes, if we're talking about a legitimate product, we can trace it back, and usually there are ways to do it. For a counterfeit product, those markings will indicate that it was made at a factory that it wasn't made at. So I'm not sure you can get back to that.
There are some techniques that we can use, at the source, looking at things, and with those who are buying to line up products, sampling methods.... So there are some steps that could be taken. But to do a truly counterfeit product.... They have found in eastern bloc countries in Europe that products are marked now with “made in China”, just because they know they can focus it. So the counterfeiters are getting the counterfeiters. It's really hard to definitively take a counterfeit product made in Shenzhen in an unlisted factory, which just makes its way through the system, and actually trace that back. It requires the network on the ground.
So some steps can be taken that way. Certainly legitimate products can be traced back. But there's a hole even in that approach.