Gordinho, who was on the books of Danish outfit Viborg between 2020 and 2022, made just 12 appearances for Koge having joined the First Division club on a one-and-a-half-year deal in July this year.
The Citizens have now snapped the Benoni-born player on a three-year deal and he will be registered with the PSL when the mid-season transfer window opens next month.
