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Cook 2 tablespoons butter and olive oil in 6-quart sauce pot over medium heat until butter is melted. Add onions and salt and cook 20 minutes or until onions are tender, stirring occasionally. Stir in 2 cloves garlic and thyme and cook 3 minutes. Stir in balsamic vinegar and cook 3 minutes or until onions begin to caramelize.
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Add beer and bring to a boil; boil 1 minute. Add beef broth and bring to a boil over high heat. Reduce heat to low and simmer 20 minutes.
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Meanwhile, melt remaining 2 tablespoons butter in a large skillet. Add garlic and cook 1 minute. Stir in bread cubes and cook, stirring frequently, until bread is golden brown.
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To serve: Ladle soup into ovenproof bowls. Top with garlic croutons and 2 slices cheese.
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Place under preheated broiler and broil 2 minutes or until cheese is melted.