The shotgun was used by Naughty Bear in the 2nd released trailer for the game. It cannot be found in story mode or multiplayer. It may have been cut due to the shotgun being overpowered when used in Multiplayer.
Confirmed Bear Kills[]
In all non-gameplay recording of the Shotgun's use, it has been used once. When Sunbeam is fleeing wounded through dark forest, Naughty Bear comes up behind him, pumps the gun, then shoots the terrified Island Resident off-screen, fluff can be seen in view.
Real World Reference[]
The Shotgun weapon used by Naughty Bear in the trailer seems to be a "Remington 1100 Tactical Shotgun, 12 Gauge."
Naughty Bear: Panic in Paradise[]
Shotguns appear in Naughty Bear: Panic in Paradise as dangerous weapons that NPC bears can use, it also appears on the title screen where Naughty is shooting a green bear (presumably Daddles) with a Double-Barreled Shotgun.