Heat the olive oil in a large Dutch over medium-high heat. Add the pork and cook until no longer pink, about 5 minutes. Add the onion, carrot and cabbage. Sprinkle with the paprika, allspice and cayenne. Cook until the cabbage is wilted, about 5 minutes.
Add the broth, tomatoes, vinegar, brown sugar and Worcestershire. Bring to a simmer and cook until the cabbage is tender, about 40 minutes.