Preheat oven to 400º F.

In a large bowl, combine the ricotta, broccoli, 2 cups of the mozzarella, ½ cup of the Parmesan, ½ teaspoon salt, and ¼ teaspoon pepper. In a small bowl, combine the marinara sauce and cream.

Spoon a thin layer of the sauce into the bottom of an 8-inch square baking dish. Top with 2 noodles, a quarter of the remaining sauce, and a third of the broccoli mixture; repeat twice. Top with the remaining 2 noodles and sauce. Sprinkle with the remaining cup of mozzarella and ½ cup of Parmesan.

Cover tightly with an oiled piece of foil and bake until the noodles are tender, 35 to 40 minutes. Uncover and bake until the top is golden brown, 10 to 15 minutes.

Toss the greens with the olive oil, lemon juice, and ¼ teaspoon each salt and pepper. Serve with the lasagna.