Cook lasagna noodles to desired doneness as directed on package. Drain; rinse with hot water. Meanwhile, in medium bowl, combine broccoli, tuna and mushrooms; mix well.
Heat oven to 350°F. Melt margarine in medium saucepan over low heat. Stir in flour; cook until mixture is smooth and bubbly, stirring constantly. Stir in all remaining sauce ingredients except cheese. Cook over medium heat for 5 to 8 minutes or until sauce is thickened, stirring constantly. Stir 1/2 the sauce (1 cup) into broccoli mixture; mix well.
Spread each cooked lasagna noodle with about 2 heaping tablespoons broccoli mixture. Roll up each noodle; place in ungreased 13x9-inch (3-quart) baking dish. Spoon remaining sauce over rolls. Cover with foil.
Bake at 350°F. for 25 to 35 minutes or until thoroughly heated. Uncover; sprinkle with cheese. Bake uncovered for an additional 5 minutes or until cheese is melted.