Pour olive oil into a large saucepan. Place over medium-high heat and heat until hot and shimmering.
Add onions, peppers, salt and pepper. Cook until onions are soft and translucent.
Add garlic. Cook for 1 more minute.
Crumble sausage into the pan. Cook, chopping to break the meat into small pieces with a wooden spoon, until sausage is browned and all pink has disappeared.
While sausage is cooking, drain off some of the bean liquid in each can so that it's at the same height as the beans.
Add both cans of beans to cooked veggies and sausage. Stir to combine.
Turn heat down to medium-low.
Add remaining ingredients. Simmer, stirring occasionally, for 5 minutes.
Serve immediately. Or store, covered, in the refrigerator, until ready to serve. Reheat before serving.