Stir the ricotta, mushrooms and pesto in a medium bowl. Top each noodle with 1/4 cup of the cheese mixture. Spread to the edges. Roll up like a jelly roll. Place the rolls seam-side down in a 2-quart shallow baking dish.
Stir the Italian sauce and picante sauce in a small bowl and pour the mixture over the roll-ups.
Bake at 400°F. for 30 minutes or until they're hot and bubbling. Top with the mozzarella cheese. Bake for 5 minutes or until the cheese is melted. Let stand for 10 minutes.