Heat oven to 300° F. Wrap the tortillas tightly together in foil and place in oven for 5 minutes.
In a medium skillet, brown the meat. Add the Sloppy Joe sauce (or seasoning, tomato paste, and water, according to the label directions).
Place each tortilla on a plate. Spoon some Sloppy Joe mixture onto each and top with Cheddar. Fold over the tortillas and serve.