A person is not obliged to make up for Salah that he did not offer due to his mental illness for in this case he is exempted from religious duties.
However, he should make up for the Salah that he missed when he was tube-fed after regaining consciousness. He should offer Salah when Allah cures him, as by then he is religiously committed. As for your wife, she should not make up for the Salah she missed during her mental disorder, for she is exempted from religious duties in this case. However, she should offer what she missed after recovery.May Allah grant us success. May peace and blessings be upon our Prophet Muhammad, his family, and Companions.