I can't believe that at this stage of my life I'm wondering what's in the green box (which the Kraft website calls "iconic"! I'd have thought notorious, but never mind). However, I have just been writing something about parmigiano-reggiano terminology and came up against the English word "Parmesan."
Italians used to use the term, in English, derisively, to indicate the international imitations of parmigiano-reggiano, but the European Commission approved the term as a translation of parmigiano. And so, in the European Union, Parmesan is parmigiano-reggiano DOP.
But the European Commission cuts no ice, I'm sure, with the green boxers, or anyone outside the European Union, so the question remains: what is in the green box? what do they mean by "real Parmesan cheese"? (I have no illusions that it is imported from Italy!)