If you can get him to try once again, reinforcing the idea of not giving up, a psychodynamic/psychoanalytic therapist. would be able to help him with maturity / developmental issues. It is a different kind of therapy, one that doesn't give homework or suggest thinking differently. The focus is on being rather than doing. The relationship is one of acceptance, non-judgmental listening, just talking about anything that is on his mind at the time of the session. If he has had behavioral therapists before, this would be and would feel much different (in my experienced opinion).

It's good he can express that he can express his feelings. Life having no meaning is one of the main reasons any of us get into therapy . To feel better is a valid goal and good things can follow.

He doesn't have to agree to cooperate. The therapist can handle that issue once he's there. I hope he can be encouraged to try therapy again so he can feel better about himself.
And so you can feel better too!