What do Odysseus and his men do to Polyphemus the Cyclops before they escape?

Gets him drunk

Odysseus gets Polyphemus drunk on wine, so much so that Polyphemus falls into a deep sleep.

Pokes out his eye

When Polyphemus has fallen asleep, Odysseus and his men grab a large burning log, and wrap leather around the end. They thrust the burning log into the Cyclops Polyphemus' eye, at the same time pulling the leather around the log so that the flaming log burrows like a screw into his eye. This blinds Polyphemus and causes him to bleed profusely.

Makes him look like a fool

Odysseus earlier tricks Polyphemus by saying his name is No Man, or Nobody. After having his eye gouged, Polyphemus cries out for help saying "Nobody is hurting me!", making the other Cyclops laugh at Polyphemus' ridiculousness.

Taunts him

As Odysseus and his crew are escaping, Odysseus taunts Polyphemus, revealing his true name.