Add pasta and cook until al dente, about 10 minutes or as package directs.
Warm 1 Tbsp. oil in a small skillet over medium heat.
Add bread crumbs and 1/4 tsp. salt and cook, stirring occasionally, until toasted, about 5 minutes.
Transfer to a small bowl.
Warm remaining 1 Tbsp. oil in a large skillet over medium-high heat.
Add garlic and saut until fragrant, about 30 seconds. Stir in beans, spinach and broth and bring to a boil. Lower heat and simmer until spinach has wilted, 2 to 3 minutes.
Drain pasta, reserving 1/2 cup cooking water.
Add pasta to sauce, stirring in reserved pasta cooking water 1 Tbsp. at a time, to reach desired consistency. Season with salt. Divide among 6 bowls and sprinkle each portion with bread crumbs.