Slice chicken into 1 inch cubes, try to keep them close to similar size for an even cook. In a large bowl make a marinade using the fajita seasoning, garlic, olive oil and lime juice. Add the chicken and mix well. Don't turn the oven on just yet, we want to give the chicken a light marinade.
Add onion, jalapeños and bell peppers to chicken and toss together with the marinade. Allow it to sit for a bit while you preheat the oven. Preheat the oven to 375º. Start the rice and cook according to the package.
Spread the chicken and vegetable mixture onto a rimmed sheet pan. Bake for 15-20 minutes, or until meat is cooked through. If you want to add some char to meat and veggies, broil for another 3 minutes (I recommend this!).
Heat a pan or cast iron skillet on medium/high heat. Working quickly, smear beans, sprinkle rice, fajita mix, salsa and cheese on the middle of the tortilla. Wrap the tortilla like a burrito tucking in both end and folding in.
Place the wrap in the skillet with the seam side down, this will melt the cheese and seal the wrap. Let it cook untouched for about 3 minutes and flip the wrap. Cook for another 3 minutes or until it's browned to your liking. Take off the heat and move to the next wrap until you have them all made.
Slice in the center and serve!