PREHEAT oven to 375ºF. Prepare Dinner as directed on package. Meanwhile, combine cubed and shredded cheeses; set aside. Beat egg, milk and pepper with wire whisk until well blended.
SPOON half of the Dinner into greased 2-qt. casserole dish; cover with half of the cheese mixture. Repeat layers. Drizzle evenly with egg mixture.
BAKE 15 min. or until center is set and Dinner mixture is heated through.