In a large bowl, stir in well the condensed chicken soup with the egg yolks. Add the cooked rice, chicken, vegetables, seasonings, and cheddar cheese/mozzarella. Mix well until obtaining a homogeneous mixture. Place mixture into the prepared baking dish, sprinkle the Parmesan cheese on top, and bake uncovered for about 25-30 minutes. Serve warm with chopped parsley on top. Enjoy!