I have no way of knowing if the therapist lied. It would be unusual. Therapy is built on trust, not on lies. Therapists are usually exquisitely careful about being trustworthy.
The therapist is a mandated reporter so she does have to inform CPS if there is reasonable concern about the welfare of children. But usually a therapist will talk to the client about it beforehand so the client understands both the necessity and how they can move forward together in the client’s treatment. If they can’t get past it, then usually the therapist helps the client find another therapist.
The best thing your husband can do now is go back to his therapist to talk about his worry that she lied and to address whether the two of them can work together effectively. It’s an important discussion. If he can address his fears with her, he may be making an important step in feeling that he can be successful in advocating for himself.
I wish you all well.