It is true that the wicked do not live forever. God does make an end to their lives. But on the other hand, this is exactly what God does with the lives of all others.
There seems to be no specific punishment for the wicked. In the end, they go the way of all people.
24 They are exalted a little while, and then are gone; they are brought low and gathered up like all others; they are cut off like the heads of grain.