Final answer:
Aksionov did not wish to return to his family at the end of the story due to the guilt and shame he felt after being falsely accused and imprisoned for many years.
Step-by-step explanation:
In the story, Aksionov did not wish to return back to his family at the end due to the guilt and shame he carried with him. He was falsely accused of a murder and had been imprisoned for many years, causing him to believe that he had lost the trust and respect of his family. Aksionov felt that he didn't deserve to rejoin his family and live a normal life after what had happened.