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Fry together the ground beef and Italian sausage until no longer pink; drain. Add the onion, celery, and garlic; cook about 5 minutes.
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Add to the meat mixture the remaining 8 ingredients; cook covered for 30-45 minutes, adding small amounts of water if necessary and stirring frequently. The mixture should be relatively thick. Remove from heat and stir in minced parsley.
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Preheat oven 350 degrees. Grease lasagna baking pan.
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Layer a small amount of meat sauce in the bottom of baking pan (about 1 cup), topping with about 5 noodles, overlapping slightly. Top lasagna noodles with more sauce, several pieces of cream cheese and the 3 cheeses all equally divided between remaining layers. Repeat until sauce, noodles, and cheese are used up.
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Cover the baking pan with foil (can grease underside of foil, too) and bake 40 minutes; remove foil from pan and return to oven, baking an additional 10 minutes or until bubbly.
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Let stand 10 minutes before cutting.