The Big Anti-Fairy Wand (much like the The Big Wand in Fairy World) is the source of all power in Anti-Fairy World. In the episode "Anti-Poof", Foop drained all of Anti-Fairy World's power from the Anti-Fairy Wand and used it to turn Anti-Fairy World into Care-Fairy World. It remained this way until Foop was defeated by his good counterpart Poof. Unlike the Big Wand, it looks rusty, gloomy, half broken and it is black, and a little broken of the stand of the Anti Big Wand.
Unlike Fairy World's Big Wand, there wasn't much concern about the loss of the Anti-Fairies' magic when it was destroyed by a giant rabid bunny in Fairly Odd Baby. Whether it did affect their magic or not is unknown.