Preheat oven to 375°F (190°C) and lightly grease a 9x13 inch baking dish.
Arrange the halved bell peppers in the baking dish with the cut sides facing up.
Heat olive oil in a large skillet over medium-high heat.
Add chicken strips to the skillet and sauté until browned and nearly cooked through, approximately 5-7 minutes.
Add the sliced onions to the skillet and cook until softened and slightly translucent, about 3-4 minutes.
Stir in chili powder, cumin, garlic powder, salt, pepper, and lime juice; cook for 1 minute to bloom the spices.
Distribute the chicken and onion mixture evenly among the pepper halves.
Cover the dish with aluminum foil and bake for 25 minutes to soften the peppers.
Remove the foil, top each pepper with shredded cheese, and return to the oven for 5-10 minutes until the cheese is melted and bubbly.
Garnish with fresh cilantro before serving.