Heat olive oil in a Dutch oven or soup pot. Add sausages, onion, garlic, bell pepper, cumin and salt.
Cook, stirring frequently, until vegetables soften, 8 to 10 minutes. Add broth and beans. Bring soup to a boil, then reduce heat to low. Simmer, partially covered, for 15 minutes.
Cut the chorizo in slices and serve with avocado pieces, tortillas, cilantro, scallion greens, lime wedges, sliced Serrano or jalapeno peppers, and sour cream at the table for garnish.