Make sure the chicken is finely shredded or chopped. Heat a skillet over medium-high heat. Dip the corn tortillas into the broth/consommé from cooking the birria. Then place in the hot skillet. Cook on one side for about 30 seconds. Flip over.
Add the shredded chicken to the tortilla and fold it over. If desired, add a sprinkle of shredded cheese as well to make a quesabirria taco. Make sure to use a good white melting cheese like quesadilla cheese, Oaxaca cheese, or Monterey jack. Cook for 1-2 minutes on each side until the taco is browned and crispy.