If the wielder attacks and the target's ability would prevent the effects of the attack from taking place, or hinder the effects of the move, the ability is temporarily nullified while the attack is in progress. Abilities that prevent status, such as Limber or Magma Armor, are also deactivated during the attack. This allows a Pokemon that has one to be affected by the status they prevent, but the ability will cure the status immediately after all effects of the attack resolve. Mold Breaker also gives a message when the wielder switches in stating that it has Mold Breaker. Mold Breaker does not nullify abilities for the duration of either Future Sight or Doom Desire that was used by another Pokemon.
Abilities that are ignored are as follows:
Terravolt and Turboblaze are it's equals so all these abilites will be negated as well Source
Yes. It will negate any ability on this list.
Mold Breaker and Turboblaze do exactly the same thing so that applies for all 3 of them.