> Is aware the EU about this?
Yes, of course the EU is aware of this. Health and Food regulations apply to the products grown inside the EU. There may be partial import restrictions on GMO products and hormone-boosted meat, but other food products are generally allowed in.
This is even more true with organic products, that are subjected to stringent norms and checks in the EU, but absolutely no checks when coming from outside the EU.
So when buying organic bananas, from say, Africa, the probability of them actually not being organic is close to 1. Organic olive oil from Turkey? Well, let's say you can be happy if it is olive oil at all. Honey from China? Hmm.. Well.. Let's say that with 150'000 tons exported a year, their counterfeiting labs are better funded and equipped than the fraud-detection labs on the EU side.
So, if you want a quality product with a relative certainty you're not being defrauded (or worse, poisoned), you buy European. Anything else? You're on your own.
> which is expected to "un-label" the source of products
That is not legal. But, of course, fraud exists everywhere, unfortunately.