Combine remaining onion, bell pepper, and oil in a large skillet. Cook over medium heat, stirring often, until completely softened, 6-7 minutes. Add garlic and next 3 ingredients; stir constantly for 2 minutes. Stir in broth and beans; bring to a boil. Reduce heat to medium; simmer briskly, mashing some of hte beans with the back of a spoon and stirring often, until sauce is thickened, 8-10 minutes (or longer if needed). Season with salt and pepper to taste and a big squeeze of lime juice. Divide rice and beans among plates. Top with some chicken and apple salsa. Garnish with additional cilantro and lime wedges.