Heat olive oil in a large pot over medium heat.
Add chopped onions and sauté until translucent.
Stir in minced garlic and cook for another minute.
Add ground meat to the pot and cook until browned.
Mix in chopped cabbage and cook for about 5 minutes.
Pour in diced tomatoes and beef broth, stirring well.
Add tomato paste and oregano, mixing thoroughly.
Season with salt and pepper to taste.
Bring the soup to a boil, then reduce heat to a simmer.
Cover and cook for about 25 minutes, until cabbage is tender.