From the article, it seems the researchers didn't actually create false memories in the mice, they simply caused the mice to associate their memories of an environment with an electric shock. After that the mice quite sensibly showed fear when reintroduced into the place they associated with having their little bodies jolted with electricity. And since these are mice they're dealing with instead of people, there is no way of proving that they've been given false memories anyway. It's the equivalent of taking someone to a place, then showing them photos of that same place while hurting them. It forms an association in the mind and not real memories per se.
The only thing that study really proved is that life is hell for lab mice. Either some ass**** is shocking the **** out of them or they're being given cancer or Ebola or some other dread disease.