So what does destroying a turret mean exactly ? Do I have to get the last hit every single turret. This doesn't make sense because I saw a few runs on the leaderboard that showed minions getting the last hit for a turret. Or do you mean I have to start attacking the turret from full health to zero health. Or do I have to be in auto attack motion when the turret dies ? Please clear this up so I can avoid having runs rejected in the future.

Your name needs to appear as the killer on the turret kill, that means the game register that you are the one killing the turret.

I, indeed, validated a run that didn't respected the rule before but it got rejected when someone pointed it out.

So you need to last hit every single turrets.

Thank you for the quick response appreciate it.