I get my Aurora that was stolen by Akshan back via Elder Dragon played by Aurora at the end of turn, does the Aurora I got back still trigger?

No, the Dazzling Aurora you regained will not trigger again this turn.

According to RiftJudge FAQ #6040, Dazzling Aurora has an end-of-turn trigger that only triggers once at the end of the turn. Once that trigger condition has been checked and the trigger has resolved for the turn, it cannot trigger again, even if you regain control of the card or it is readied.

Why this happens:

1. Trigger Timing: Dazzling Aurora triggers at the "end of your turn." This is a singular timing window.
2. State Check: Because the trigger condition ("At the end of your turn") has already been met and processed for this turn, the game does not check for the condition again to see if it should trigger a second time, regardless of the change in ownership or the state of the card.
3. Not an Exhaust Ability: As noted in the FAQ, although some players physically exhaust the card to track that it has been used, it does not actually have an exhaust ability that can be refreshed. It is simply a one-time end-of-turn event.

This is my interpretation based on the mechanics of end-of-turn triggers and RiftJudge FAQ #6040. No official FAQ exists for this specific "steal back" interaction, but the rule regarding the single trigger per turn remains constant.