In a large skillet over medium heat, add the sausage, onion and garlic. Cook for 10 minutes, until sausage is brown.
To the sausage mixture, add the next 5 ingredients (Brussels sprouts through broth).
Stir and cook for 5 to 10 minutes, until vegetables are tender-crisp.
In a medium baking dish, pour the contents of the skillet.
In a mixer, place the sweet potatoes, coconut milk and sea salt and freshly ground black pepper to taste. Mix until smooth then spoon over the sausage mixture.
Place baking dish in the oven and bake for 15 minutes, until potatoes are golden brown on top and sausage mixture is bubbling. Serve warm.