Step 1: Prepare the Slow Cooker : Spray the inside of the slow cooker with nonstick cooking spray or lightly coat with olive oil.
Step 2: Layer Ingredients : Place sliced bell peppers and onions at the bottom of the slow cooker. Place chicken breasts on top. Add minced garlic, diced tomatoes with juice, chicken broth, chili powder, cumin, smoked paprika, oregano, salt, and pepper.
Step 3: Cook the Chicken : Cover and cook on low for 4 hours or on high for 2-3 hours, until the chicken is fully cooked and tender.
Step 4: Shred the Chicken : Remove the chicken from the slow cooker and shred it using two forks. Return shredded chicken to the slow cooker and stir to combine with vegetables and sauce.
Step 5: Cook the Pasta : Cook pasta according to package instructions until al dente. Drain and add to the slow cooker, stirring to coat the pasta with the sauce.
Step 6: Add Cheese : Sprinkle shredded cheese over the pasta and stir until melted and well combined.
Step 7: Garnish and Serve : Top with fresh cilantro and serve with lime wedges if desired.