Heat oil in a large pot over medium heat. Add onion and garlic and cook until translucent, about 5 minutes. Add broth, beans, pimientos, seasonings, and hot sauce and bring to a boil. Reduce heat to low and simmer, uncovered, 10 minutes.
Mix avocado, lime juice, orange, and cucumber in a medium bowl. Divide soup among bowls; top with avocado mixture and a sprinkle of cheese.
Note: Nutritional analysis is per serving.