Double XP tokens do not stack with Double XP events, meaning you won't ever be quadrupling your XP bonuses during those aforementioned special events.

Can you use a double XP token on double XP weekend?

Using tokens during a double XP weekend is the perfect opportunity to earn four times the normal amount of XP. Prior to jumping into a multiplayer game or dropping into Verdansk, activate a double XP token to double the amount of XP on top the double XP already live and reach the maximum Officer rank in no time at all.

Does Double XP stack in Cold War?

Double Weapon XP events are the best time for players to level up their guns. However, players should note that their Double Weapon XP tokens do not stack with the event's Double XP. Save your tokens for another time as you can't get your weapon XP any higher than double.