Preheat the oven to 175 °C (350 °F).
In a 2-quart casserole dish, combine pork and beans, kidney beans, butter beans, and lima beans.
In a saucepan over medium heat, cook bacon, onion, and garlic until the bacon is browned (about 10 minutes). Drain excess grease.
Whisk in the brown sugar, ketchup, vinegar, molasses, and mustard. Simmer until cooked through (about 20 minutes), then pour the sauce over the beans, stirring to combine.
Bake for about 1 hour 15 minutes or until bubbling.
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