Heat a stockpot over medium heat. Cook and stir bacon until lightly browned, 3 to 5 minutes.
Stir in onion and garlic. Cook, stirring occasionally, until onion is transparent, 5 to 7 minutes.
Stir in broth, cayenne pepper, salt, sugar and black pepper. Bring to a boil and cook for about 5 minutes.
Stir cabbage into the stockpot. Simmer until cabbage has wilted, 10 to 15 minutes.
Stir in crushed tomatoes and liquid. Bring soup to a boil and cook for about 5 minutes.
Reduce heat, cover, and simmer, stirring often, for 15 to 30 minutes.
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