Pat the ribs dry and sprinkle with salt and pepper. Heat 2 tablespoons of the oil in a Dutch oven over medium-high heat and brown the ribs on all sides, working in batches if needed. Remove the ribs and set aside. Add the remaining 1 tablespoon of oil to the Dutch oven and reduce the heat to medium. Add the carrots, celery, onions and some salt and pepper and cook until soft, about 5 minutes. Add the garlic and cook until fragrant, about 1 minute. Add the tomato paste and cook, stirring, to remove the raw flavor, about 3 minutes. Deglaze the pan with the vinegar and wine, and then add the red pepper flakes and bay leaves.