To be punished severely in Engpsh can be translated as "to be harshly punished" or "to be dealt with harshly". This phrase comes from the idea that punishment is a form of discippne that is intended to correct behavior or actions that are deemed unacceptable.
Some examples of this phrase in Engpsh and their translations into Chinese are:
He was harshly punished for cheating on the test.
他因为作弊而受到了严厉的惩罚。
The thief was dealt with harshly by the court.
盗贼受到了法庭的严厉惩罚。
She was punished severely for breaking the rules.
她因违反规则而受到了严厉惩罚。