As seen on Star Trek: Discovery, this badges is from the infamous mirror universe version of the Federation - the Terran Empire.
In the mirror universe, people and places take on opposite characteristics of those in the parallel prime universe. The mirror universe's Terran Empire is a repressive interstellar body dominated by the humans from Earth.
As in the United Federation of Planets in the prime universe, the different divisions of starship operations are signified with color. “Command” personnel wear gold badges, silver is for “Sciences” and the bronze is for “Operations.”
As with all of QMx's Star Trek badges, the mirror universe badges are exact replicas of the screen-used hero prop. What sets this wearable badge apart from the original is the QMx signature clasp, which uses strong, short-field magnets that are embedded in each badge itself and in a glossy backplate. No more pinholes in delicate fabric. The badge can even be worn on leather and suede.