The night before, soak the dried cannellini beans in a large bowl of cold water. Drain before cooking.
Rinse the parboiled tripe under cold water and cut into 2.5 cm / 1-inch strips.
Heat the olive oil in a 5-quart / 4.7 L Dutch oven over medium heat. Add the pancetta and cook for 4 to 5 minutes until the fat renders and the edges crisp.
Add the onion, carrot, and celery. Cook for 6 to 8 minutes, stirring often, until the soffritto turns soft and pale gold.
Stir in the garlic, sage, bay leaf, and tomato paste. Cook for 1 to 2 minutes until the tomato paste darkens slightly and smells toasted.
Add the tripe, drained beans, parmesan rind, and broth. Bring to a simmer over medium-high heat.
Reduce the heat to low and partially cover the pot. Simmer for 1 hour 45 minutes to 2 hours, stirring occasionally, until the tripe is fork-tender and the beans are creamy.
Stir in the shredded cabbage during the last 20 to 25 minutes of cooking, until wilted but still holding its shape.
Remove the bay leaf and parmesan rind. Season with salt and pepper to taste.
Ladle into bowls, top with grated parmesan and a drizzle of olive oil, and serve with crusty bread.