What happens when you flicker a creature enchanted with an Aura — does the Aura come back too?

When you "flicker" a permanent (exile it and return it to the battlefield), the creature that returns is treated as a brand-new object with no memory of its previous existence (CR 400.7). The Aura that was enchanting it does not follow it, because the Aura was only ever told to return if it was the flickered permanent — and it wasn't.

The moment the enchanted creature leaves the battlefield, the Aura loses its legal enchantment target. State-based actions (CR 704.5n) then immediately check: an Aura attached to nothing is put into its owner's graveyard. This happens before the creature even has a chance to return, so there is nothing for the Aura to re-attach to.

When the creature does return (under effects like Momentary Blink or Ephemerate), it arrives as a fresh permanent with no Auras, counters, or other attachments from its previous existence, unless the effect specifically says otherwise (CR 400.7).

Concrete example: Your Centaur Courser is enchanted with Mantle of the Wolf. You cast Ephemerate targeting the Centaur. The Centaur is exiled — Mantle of the Wolf is now attached to nothing, so state-based actions put it into your graveyard (CR 704.5n). The Centaur returns to the battlefield at end of turn as a clean 3/3 with no Aura on it.

The only exception would be an effect that explicitly returns both permanents, or an Aura with a special self-returning ability — but standard flicker effects targeting only the creature will never bring the Aura back.