A chum of mine in the Mother Country informed me that his son, who is in the British Army, is moving from one unit of that (The Queen's Own Royal Donkey Drivers or some such) to another unit of it (The First Royal Highlands Rock Throwers or some other such). To describe the process of departing from one military unit and integrating with a new one, he said his son would be "rebadged."

I looked it up and the primary use of this terms seems to be when a vendor arranges with a manufacturer to put the vendor's brand name and label on something not made by the vendor, e.g. Wally's Widget Company contracts with the Universal Key Company to produce wind-up keys for widgets which bear the label "Wally's Widget Wind-Up Keys" but are not, in fact, manufactured by Wally. Of them, it can be said that the keys were rebadged.