"We will crush all those who dare resist the will of the Red Army! Abandon your posts... Abandon your homes... Abandon all hope!"
- – Commissar Markhov, Call of Duty: World at War
Imagine a Commissar. Scary guy, big sword, nice hat. Now imagine a full regiment of Commissars, all with their peaked caps shadowing their face as they all snarl and raise their lasguns at the same time. I don't think you'll need to imagine shitting your pants.
While it's hard to speculate on what additional training they receive, it's probably likely that they practice their markmanship by firing at a range of five centimeters with a bolt pistol at volunteers from their penal legions.
They were present during the Marchurian Crusade, but took significant damage from friendly fire in the form of both the Star Phantoms and Marines Malevolent. The former of which was declared "not heresy," but did sideline both groups from further active duty in the crusade.