Coat 11 x 7 x 2-inch baking dish with nonstick cooking spray.
Prepare sauce mix according to package directions, adding basil, thyme, garlic, pepper sauce. Remove from heat. Stir in 1/2 cup Parmesan.
Spoon 1 cup sauce in prepared dish. Arrange 3 pasta sheets on top. Top with half of vegetable mixture and 1-1/2 cups white sauce. Repeat with pasta sheets, vegetables, sauce, pasta sheets, remaining sauce. Chop tomatoes; drain. Scatter over top. Cover with cooking-spray-coated foil.
Bake in 375 degree oven for 30 minutes. Remove the foil; sprinkle on remaining Parmesan cheese. Bake 10 minutes. Let stand 15 minutes before serving. Makes 6 servings.