"伤害之外又加侮辱" can be translated into English as "adding insult to injury".
This is a common idiomatic expression in English that conveys the idea of making an already bad situation even worse by adding a further humiliation or offense. For example:
"Not only did he lose the game, but his coach also criticized him in front of the whole team. It was adding insult to injury."
"After being rejected for the job, she then found out they'd hired someone less qualified. That was adding insult to injury."