Cook the Aromatics:Heat olive oil in a large skillet over medium heat. Add the diced onion and sauté for 4–6 minutes until softened. Stir in garlic and cook for another minute.
Brown the Beef:Push the onions to one side of the skillet and add the ground beef. Season with salt and pepper. Let it cook undisturbed for 3–5 minutes to develop a crust, then break it apart and stir until browned.
Add Seasoning and Cabbage:Sprinkle in dried oregano and add the chopped cabbage. Stir to combine, then cover and cook until the cabbage wilts, stirring occasionally. If there’s excess liquid, uncover and simmer for a few extra minutes to reduce it.
Finish the Dish:Remove from heat and stir in the chopped dill and lemon juice. Taste and adjust seasoning as needed.
Serve:Spoon over bowls of cooked rice and top with extra black pepper if desired.