Combine all ingredients for rub and pat firmly into all sides of the ribs. For best results, let rub set on pork for an hour or up to overnight.
Heat oven to 275 degrees.
Place the ribs on a large rimmed baking sheet and cover tightly with foil. Bake until tender and the meat easily pulls away from the bone, 2 ½ to 3 hours.
Meanwhile, make the sauce. In a small saucepan, combine the preserves, lime juice and ½ teaspoon of salt. Simmer over medium heat until slightly thickened, 4 to 5 minutes.
Heat grill to medium-high. Grill the ribs, basting with the sauce and turning occasionally, until just beginning to char, 4 to 5 minutes.
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