The report said the detainee was bleeding and was taken to hospital after several hours, where his condition was described as "complex."
"The injury was caused by the insertion of an object," the channel said, quoting a medical report.
Following the arrest of nine soldiers for committing the act on July 29, Israeli right-wing protesters, including politicians, broke into two military bases in southern and central Israel.
Israeli military prosecution claims it is still investigating the incident, but has not filed any charges against the accused.