A commentary in Frontiers in Psychology suggests that the evidence to support the use of cognitive behavioral therapy as a treatment for psychosis is tenuous, in part because the actual practice of CBT itself is so variable when used with people experiencing such diverse symptoms.
Thomas, Neil. “What’s Really Wrong with Cognitive Behavioral Therapy for Psychosis?” Psychopathology 6 (2015): 323. doi:10.3389/fpsyg.2015.00323. (Full text)