In a large pot, bring salted water to a boil. Add the cabbage wedges and cook for 5-7 minutes until slightly tender. Drain and set aside.

In a skillet, melt 2 tablespoons of butter over medium heat. Add the sliced onion and saut? until translucent, about 5 minutes. Stir in the minced garlic and cook for an additional minute.

Add the cabbage wedges to the skillet with the onion and garlic. Pour in the vegetable broth and season with salt, pepper, and thyme. Bring to a simmer.

Cover and cook on low heat for 30-35 minutes, until the cabbage is meltingly tender. Stir occasionally and add more broth if needed.

Remove from heat and stir in the remaining 2 tablespoons of butter until melted. Serve warm.