Heat a Dutch oven coated with cooking spray over medium-high heat. Add chicken; sauté 4 minutes or until done. Remove from pan; keep warm.
Recoat pan with cooking spray. Add sausage; sauté 5 minutes or until browned. Add mushrooms, 2 cups onion, and garlic; sauté 3 minutes. Add broth and rice, omitting seasoning packets; bring to a boil. Cover, reduce heat, and simmer 20 minutes or until liquid is absorbed.
Stir in chicken, green onions, artichokes, and olives. Cook 3 minutes or until thoroughly heated.