This is precisely what is needed, but with two differences ...
Ebay mostly ignores violation reports, and it can do this safely because nobody other than ebay can easily prove that an item actually was reported.
What's actually needed is for the EU to set up a reporting system to accept violation reports and forward them anonymously to ebay. If ebay deals with the forwarded report, fine. But more likely than not, ebay will continue to ignore them. Except that this time, the EU has cast iron *evidence* that the problem was reported and wasn't dealt with.
Laws are only the smallest part of the solution. Proof of evidence and enforcement of violations are the more important part. But the proof could be obtained at minimal ongoing cost by setting up a trusted, independent web site that hosts the evidence that a seller was reported.
However, even more important is to vigourously clarify the law to ensure that people can't be stopped from selling genuine goods by over-zealous trademark holders who want to unlawfully restrict the product to a select group of favoured sellers. Such a restriction should certainly be prohibited in the case of second hand goods and should probably be outlawed even for unused goods.