Heat large nonstick skillet over med-high heat. Add first 4 ingredients, saute 5 minutes. Add wine and next 6 ingredients (wine through tomatoes). Bring mixture to a boil; reduce heat. Simmer 10 minutes or until thick.
Combine flour, milk, and 1/4 teaspoon nutmeg in a medium sauce pan, bring to boil. Reduce heat, cook 7 minutes or until thick, stirring constantly. Remove mixture from heat. Stir in feta cheese, 1T Parmesan cheese, and egg.
Sprinkle 1T breadcrumbs in a casserole dish coated with cooking spray. Place 2c spaghetti in casserole dish, top with 2c beef mixture and 1c sauce. Repeat layers. Combine 1T Parmesan cheese and 1T breadcrumbs. Sprinkle over top Bake at 375 for 30 minutes or until golden brown. Let stand for 5 minutes. Garnish with fresh oregano.