When a Pokémon with Mold Breaker is brought out, the message "
breaks the mold!" will be displayed. Mold Breaker nullifies the same
Abilities as in Generation IV, as well as the following Abilities
(even if they would end up boosting the power of the Mold Breaker
Pokémon's move): Big Pecks, Contrary, Friend Guard, Heavy Metal, Light
Metal, Magic Bounce, Multiscale, Sap Sipper, Telepathy, and Wonder
No Mummy is listed.
So yeah, it will transfer.