KRRC Identification needed.

[citydrinker]

Hi, I'm new on here and have inherited a collection of Military badges from my mother.
I have two KRRC badges one which seems to be normal sized with solid crown and blackened brass and slider, plus red backing. The other is smaller with a pin attachment on the back.
I have attached a picture of them side by side and want to clarify if the larger is catalogued as KK764 and if the smaller is genuine, and if so, does anyone have information about it.
Cheers.
Keith.