Rinse the tripe well with cold water and cut it into bite-sized pieces.
Put the tripe in a large pot, cover with water, and add salt and vinegar.
Bring to a boil, then simmer for about an hour.
Drain and rinse to get rid of any strong aroma.
Heat oil in a clean pot over medium heat.
Add the onion and garlic. Cook until the onion turns translucent.
Add the tripe to the pot and stir for a few minutes.
Pour in beef broth, tomatoes, and tomato paste.
Stir, then add carrots, potatoes, celery, pepper, and sugar.
Let it come to a boil, then lower the heat and simmer for 1.5 to 2 hours, until the tripe and veggies get really tender.
Taste and adjust seasoning if needed.
Top with parsley if you like, and serve hot.