This pasta with tomato sauce gets more oomph from pancetta and cannellini beans.
Heat 1 tablespoon oil in a large heavy saucepan over medium heat. Add pancetta; cook, stirring often, until golden brown, about 10 minutes. Add onions, garlic, 1/2 teaspoon salt, and 1/4 teaspoon pepper. Cook, stirring often, until onions are golden, 7 to 10 minutes.
Seed tomatoes, and cut into 1/2-inch pieces. Add reserved tomato juice and carrots to the pan. Cook until carrots are tender, about 10 minutes. Reduce heat to medium low; add tomatoes, beans, and chopped sage. Simmer until heated through, about 5 minutes.
Bring a pot of water to a boil; add remaining 1 1/2 teaspoons salt and pasta; cook until al dente. Meanwhile, heat remaining 3 tablespoons oil in a small skillet over medium heat. Fry sage leaves until they begin to curl. Blot on paper towels. Drain pasta, and transfer to a serving bowl.
Add sauce; toss to combine. Top with fried sage and Parmesan.