Place about one-third of the pork in bowl or plastic bag; sprinkle with 2 tbsp (25 mL) of the flour. Toss or shake until evenly coated. In large deep saucepan, heat 1 tbsp (15 mL) of the oil over medium-high heat; cook floured meat, turning often, until lightly browned. Remove to bowl or platter. Repeat with remaining meat, adding 1 tbsp (15 mL) oil if needed. Save any remaining flour.

Add onions and garlic to oil remaining in pan, adding another 1 tbsp (15 mL) oil if needed. Reduce heat to medium-low and cook, stirring often, until onions are translucent, about 5 minutes. Sprinkle with any remaining flour; increase heat to medium and cook, stirring, for about 1 minute. Add cider, stirring to remove any browned bits from pan bottom; cook, whisking frequently, for about 3 minutes or until thickened. Stir in broth, thyme, rosemary, sage, salt and cayenne.

Return pork and any accumulated juices to pan. Increase heat; cover and bring to boil.

Add carrots to boiling ragout. Decrease heat to low and simmer, covered, stirring often, for 30 minutes.

Meanwhile, peel, core and slice, apples, into 1/3-inch (8 mm) wide wedges. Add to ragout and continue simmering, covered and stirring often, for 20 minutes. Seed and cut pepper into 1/2-inch (1 cm) cubes. Add to ragout and continue simmering just until pork is fork-tender and apples are "al dente," about 5 more minutes.