Statistically, he is far, far better, it's as simple as that. You watch every min of our games, so that means you witness the unsuccessful crosses (they are LOW % anyway, for all clubs, for all players) but as you confirm you don't watch a full game of LFC's, so you are watching the highlights that will only show the successful ones or those that came close.
TAA is one of their main set-piece taker corners and free-kicks, this is where a lot of his assist numbers have come from. He's a very good crosser of the ball, but he takes over double the number of crosses Aurier dose.
The way LFC play however allows them to counter-press those defended, miss-hit, over hit, under-hit, blocked crosses, it's part of their game plan. They look to win the 2nd ball or press the oppo defender defending the cross, rushing their clearance so they increase the chance of winning it high up the pitch.