In a large saucepan over medium-high heat, cook the sausage until it is no longer pink, 5 to 7 minutes.

Add the garlic and onion, and sauté with the meat for about 5 minutes more.

Add the Brussels sprouts, and continue to sauté for another 5 to 7 minutes, or until they start to brown a bit.

Season with salt and pepper, and pour the broth into the pot along with the bay leaves.

Bring to a boil, reduce the heat to low, and simmer for at least 30 minutes.

Remove the bay leaves and serve.