What happens to tokens when you use Keeper's Verdict on them?

When you use Keeper's Verdict on a token unit, the token is moved to the top or bottom of your Main Deck (as chosen by the owner), and then it immediately ceases to exist.

According to Rule 183.1: "If a token is put into any Non-Board Zone besides the chain, it ceases to exist immediately after moving to its new zone."

Because the Main Deck is a Non-Board Zone, the token will briefly enter the deck before vanishing. It cannot be drawn or played from the deck later.