Satin Nickel Exterior Door Knob Wrap Surround

We replaced our brass front door hardware with satin nickel. Our old hardware set had a piece that simply wrapped around a standard doorknob and also had a pull handle. It was a separate piece from the door knob and dead bolt, and it screwed into the door face. I don't know what it is called, and I didn't find a single thing like it when I tried guessing what it was called. If you have one of these for sale and/or know what it is called, please let me know!