In a medium skillet, heat 2 tablespoons of the oil over medium to high heat. Add the onion, lower the heat, and sauté for about 20 minutes until nicely browned and caramelized. Be careful to not allow onions to stick to skillet. Set aside to cool.
Place the ground goat in a mixing bowl, mix in the onions, rosemary, thyme, cilantro, cumin, salt, pepper, cumin, mustard, and Worcestershire sauce.
Shape the ground goat mixture into 4 to 6 patties.
Grill the patties over the hottest part of your bbq, turning once, until nicely charred and cooked to your liking, 5-6 minutes per side for medium.
When done, serve with your favorite hamburger buns, sliced cheese, fresh lettuce, tomatoes, and your favorite condiment—such as ketchup, mustard, mayonnaise, barbeque, or other sauce.