Rinse pinto beans, cover with water and soak overnight. Drain, rinse, and add fresh water to the pot. Bring to a boil, then reduce heat, cover, and simmer until beans are tender.
Assemble the burritos by spreading bean mixture in the center of each tortilla. Add shredded cheese. Fold the ends of the tortilla then roll up into a burrito. Place seam side down on the plate. Top with heated mojado sauce.