Cook the sausages: Heat 1 tablespoon of olive oil or butter in a large skillet over medium heat. Cook the sausages for 8-10 minutes, turning occasionally until browned and cooked through. Remove from the skillet and set aside.

Sauté the onions and garlic: In the same skillet, add the remaining olive oil or butter. Sauté the sliced onion and garlic for 3-4 minutes until softened and fragrant.

Cook the cabbage: Add the thinly sliced cabbage to the skillet. Season with smoked paprika, thyme, salt, and pepper. Cook for 6-8 minutes, stirring occasionally, until the cabbage is tender and slightly caramelized.

Slice the sausages: Slice the cooked sausages into bite-sized pieces and return them to the skillet with the cabbage. Stir everything together and cook for an additional 2-3 minutes, allowing the flavors to meld.

Serve: Garnish with freshly chopped parsley and serve hot. This dish pairs well with mustard or a keto-friendly sauce for extra flavor.