This is the recipe that I use to make Qdoba-like Shredded Beef Burritos. I hope you enjoy it.

PART 1 (THE SHREDDED BEEF):
1 1/2 lbs boneless beef chuck (trimmed of fat and cut into 4 pieces)
1/2 medium onion, chopped
2 tbsp cilantro leaves (dried)
2 tbsp oregano leaves (dried)
2 cloves garlic (halved)
1 beef bullion cube (optional)

Place all ingredients from part 1 into a stockpot that has a lid and add 2 cups of water. Bring the water to a boil and then reduce the heat to medium-low and simmer with the lid on for 1 1/2 to 2 hours or until the meat is nice and tender. When tender remove the meat to a cutting board and shred the meat with either your fingers or 2 forks. DO NOT THROW AWAY COOKING WATER. Then move to the next step. I know it's a lot of work put it is soooo good.

PART 2 (THE SEASONING PART):
2 cloves garlic, chopped
2 tbsp any oil (i use olive oil)
shredded beef from part 1
cooking broth from part 1
3 tbsp cumin
2 tbsp light brown sugar
1 (8 oz) can tomato sauce
3 dashes pepper sauce (i use and prefer habanero sauce, but i suppose 2 chipotle canned peppers would work)
salt and pepper

Saute the garlic in a large pan with the oil and then add beef and 1 cup of strained cooking broth (can stretch with water if needed). Heat to a simmer and add the cumin, brown sugar, tomato sauce and heat through. Add pepper sauce and salt and pepper to taste. And Enjoy.

I think these tastes exactly like Q-Doba's beef burritos and hopefully you will enjoy it. ~drew

P.S. for the rice just cook the rice like normal and add cilantro leaves and a splash of lime juice, AFTER THE RICE IS COOKED! And then assemble the burrito how you like it.