To prepare lasagna, combine ricotta cheese, egg, Â½ cup provolone cheese and mashed squash; stir well.
Spoon a small amount of tomato sauce into bottom of a 13-by-9-inch baking dish. Layer 4 uncooked noodles, turnip greens, 3/4 cup provolone, half the ricotta cheese mixture, and 1/3 of the remaining sauce. Add 4 more lasagna noodles, top with half the remaining tomato sauce, the remaining 3/4 cup provolone, and remaining ricotta cheese mixture. Top with 4 more noodles, remaining tomato sauce and Parmesan cheese.
Cover with foil and bake 40 minutes. Uncover and bake 5 to 10 minutes longer or until top is browned.