Add 1 tbsp of olive oil to a large pot over medium-high head. Once the oil is heated, add the chuck roast and sear on each side for about 3-4 minutes until it begins to brown.
Remove the chuck roast and place to the side. Add onion to the pot and saute for 5 minutes, until translucent and brown.
Add tomato paste and cook for about 1 minute, stirring constantly.
Add the roast back in along with beef broth, water, and crushed tomatoes. Bring to a simmer, turn the heat down, and allow to simmer with the top on for 1 hour.
Remove beef from the pot and cut into bite-size chunks.
Add cabbage, carrots, potatoes, and cut-up beef. Simmer with the top on for 30 minutes, until veggies are fork tender.
Add vinegar and brown sugar. Simmer for 5 more minutes. Taste and adjust with salt, pepper, vinegar, or brown sugar if necessary.
Serve and enjoy!
Notes
If you like your soup more sweet, feel free to add more brown sugar. If you like it more sour, add more vinegar.