Heat olive oil in a large pot over medium heat. Cook and stir onion in hot oil until tender, about 5 minutes.
Stir burger crumbles and browning sauce with the onion until onion and crumbles are coated with sauce; add stewed tomatoes, vegetable broth, chili beans, tomato sauce, tomato paste, chipotle chili, and salt.
Bring mixture to a low boil, reduce heat to medium-low, and cook until the tomatoes and beans are softened, 15 to 20 minutes.