Heat oven to 350°F. Spray 13x9-inch (3-quart) glass baking dish with cooking spray.
In large bowl, mix eggs, brown sugar, chili garlic sauce and fish sauce; stir in chicken, cabbage and carrot.
In 1-quart microwavable bowl, mix broth, soy sauce and butter. Microwave uncovered on High 4 to 6 minutes or until steaming. Add noodles to baking dish, pulling apart to spread evenly in dish. Pour broth mixture over noodles; let stand 2 minutes. Using tongs, carefully turn noodles, and spread in even layer.
Pour chicken mixture over noodle mixture, and spread evenly to cover noodle mixture; cover with foil. Bake 30 minutes.
Stir noodle mixture, then replace foil and bake 7 to 10 minutes longer or until chicken is no longer pink in center and mixture is heated to at least 165°F in center of casserole. Top with peanuts, green onions and cilantro. Serve with lime wedges.
