How to Make It
Mix tomatoes, sausage, olives, tomato paste, capers, onion, anchovy, garlic, ¾￼ teaspoon salt, and pepper in a 4-to 6-quart slow cooker. Cover and cook on low until sausage is cooked through, about 6 hours.
Preheat oven to 425°F. Toss together Broccolini, oil, and remaining ½ teaspoon salt. Spread on a rimmed baking sheet and roast until tender, 10 to 15 minutes. Cook pasta according to package directions; drain. Top pasta with sauce, cheese, and basil. Serve with Broccolini.