The present invention pertains in general to the suppression of firearm and weapon systems to mitigate audible, visual and temperature profiles when in use. Embodiments of the invention include the use of a baffle system surrounded by a sleeve, further surrounded by an outer housing. The combination of these elements create a multi-volume device providing increased expansion volume within the device to mitigate firearm signature related to the expansion of gasses exiting the muzzle-end of a firearm.