Put beef, chicken broth, enchilada sauce, bouillon cubes, onion, green chiles, chipotle pepper sauce, cumin, oregano, and salt and pepper into Instant Pot.
Lock the lid in place and turn the knob to sealing, not venting. Press the Manual or Pressure Cook button and set for 25 minutes.
When it is done cooking, natural release and then carefully remove the lid. The beef will be very tender and flake when stirred.
Turn oven on broil.
On an oven-proof plate or baking pan, lay out a tortilla. Place about 1/2 cup of the meat (drained by using a slotted spoon) on the tortilla. Add a spoonful or two of beans. Roll into a burrito.
Pour some of the remaining sauce from the Instant Pot over the burritos to cover them and top with cheese.
Broil until cheese is bubbly, about 2-4 minutes.
Makes 6-8 burritos, depending on how full you make them.