Bring a large saucepan of water to a boil. Cook pasta for 6 minutes. Add broccoli rabe and continue cooking, stirring occasionally, until the pasta and broccoli rabe are just tender, about 3 minutes more. Drain. Rinse and dry the pot.

Whisk broth and flour in a small bowl. Heat oil in the pot over medium-high heat. Add garlic and rosemary and cook, stirring, until fragrant, 30 seconds to 1 minute. Whisk in the broth mixture. Bring to a simmer, whisking constantly, until it thickens. Add chickpeas, vinegar, salt, pepper and the pasta mixture. Cook, stirring constantly, until heated through and coated with the sauce, about 2 minutes.

Note: Chicken-flavored broth, a vegetarian broth despite its name, is preferable to vegetable broth in some recipes for its hearty, rich flavor. Sometimes called "No-Chicken Broth," it can be found with the soups in the natural-foods section of most supermarkets.