Start by washing and chopping your onion and garlic, ensuring they're finely diced for a more integrated flavor. Rinse, core, and slice the cabbage into bite-sized pieces. This whole process should take around 10 minutes.

In a large skillet, heat a drizzle of olive oil over medium-high heat. Add the ground beef, along with your chopped onion and garlic, cooking for about 5-7 minutes until the meat is browned and the onions are translucent. Stir frequently to ensure even cooking and to break the meat into smaller pieces.

Transfer the browned meat mixture into your slow cooker. Layer the chopped cabbage on top, creating a colorful base for your dish. Pour the tomato sauce evenly over the cabbage and beef, ensuring the sauce seeps down into the layers.

Sprinkle in your desired spices, such as salt, pepper, and paprika, adjusting to your taste preference. Use a large spoon to gently stir the layers, ensuring that the spices and sauce coat the cabbage and meat evenly.

Cover your slow cooker with the lid and set it to low heat. Let it cook for 6-8 hours, allowing the flavors to meld and the cabbage to become tender.

Once cooked, stir the contents of the slow cooker to combine all ingredients. Use a ladle to serve the delicious mixture on plates, making sure to dish out plenty of sauce with each serving.