Combine black beans, water, and sugar in a food processor; process until smooth.
Combine bean puree and remaining beans in a bowl.
Heat a large saucepan over medium-high heat; coat pan with oil.
Add turkey to large saucepan; cook 3 minutes or until browned, stirring to crumble.
Remove turkey from the pan and set aside.
Add chopped onion, bell peppers, and bacon to the pan; cook 5 minutes or until bacon and onion are lightly browned.
Return turkey to the pan.
Combine chili powder, cumin, oregano, and crushed red pepper and mix in a small bowl.
Add chili powder, cumin, oregano, and crushed red pepper to pan; stir well to coat.
Stir in bean mixture, salsa, tomato paste, and broth; bring to a boil.
Reduce heat and simmer for 30 minutes, stirring occasionally to ensure chili doesn't stick to the bottom.
Combine sour cream, cilantro, and lime juice in a small bowl.
Serve chili with sour cream mixture.