In a deep pan saute beet greens and onions in 2 tablespoons of olive oil. Add salt and pepper.
Cook until the greens and onions are softened about 8 minutes. (if needed add a little water to the pan to cook greens) While greens cool, make the filling.
In a small bowl combine the cheeses. Spread the cheese on the top of the phyllo dough.
Cool for 10 minutes. Carefully remove from a pan and cut into serving pieces.