How to say “Who authorized that driver to enter after the gate had shut?” in Japanese

In Japanese

ゲートが閉(し)まった後(あと)なのに、誰(だれ)があの運転手(うんてんしゅ)の立(た)ち入(い)りを許可(きょか)したの？

Gēto ga shimatta ato na no ni, dare ga ano untenshu no tachiiri o kyoka shita no?