In a medium skillet, heat ghee over medium high heat. Once melted, add shallots and garlic. Stir for about 5 to 10 minutes until it becomes very fragrant, then turn heat down to medium low. Slowly add in the broth, as soon as it boils, turn down to low and simmer for 10 minutes.
After mixture simmers, remove from heat and allow to rest for 15 minutes. Then pour it into a food processor and add vinegar. Blend until smooth.
Place lamb chops in a baking pan and pour mixture over the top. Place in oven and roast for 45 minutes for a nice pink center or until cooked to your preferred doneness.