Does a "lose your turn" card cancel doubles?
In a version of the rules hopefully not too different from yours, doubles are described like this:


  If you throw doubles, you move your token as usual... Retaining the dice, throw again...


It does not say "take another turn", so the extra move from doubles is still part of the same turn even though the action you're taking looks a lot like a new turn. Thus if you are told to "lose your next turn" after rolling doubles, you should still finish your current turn normally by rolling again.

If however your rules (or insistent other players) say the reroll is a new turn, then since it's your next turn you would lose it, but you would not lose the following turn.