In a small saucepan reheat your beans over medium heat.
In a sauté pan over medium high heat cook onions and peppers until soft, approximately 5 minutes. Add in your chopped rib meat. Sauté for another five minutes.
Lay your four tortillas side by side and smear 1-2 tbsp of refried beans on half of the tortillas. Split the rib meat evenly over the refried beans. Then add a layer of cheese on top of each tortilla.
Heat a large sauté pan over medium heat. Fold the other half of the tortilla over on itself. Smear with ½ tbsp of butter. When the pan has heated up add the folded quesadilla butter side down. While the quesadilla is cooking butter the other side with ½ tbsp butter.