Remove 2 chiles from can; reserve remaining chiles and sauce for another use. Finely chop chiles. Heat a large Dutch oven coated with cooking spray over medium-high heat. Add onion, carrot, celery, and garlic; sauté 8 minutes or until onion and carrot are tender. Stir in chiles, cumin, basil, oregano, chili powder, and bay leaves; cook 1 minute, stirring constantly. Stir in water, beans, broth, and tomatoes; bring to a boil. Partially cover, reduce heat, and simmer 2 hours, stirring occasionally.
Remove from heat; discard bay leaves. Place 3 cups of soup mixture in a blender. Let stand 5 minutes; process until smooth. Return pureed mixture to pan, stirring to combine. Ladle 1 1/4 cups soup into each of 8 bowls; top each serving with 1 tablespoon yogurt and 1 1/2 teaspoons cilantro. Serve with lime wedges.