Thanks for the advice,I'll work on it.
Because of the way you animated the recoil, it looks like the character is thrusting the gun forward, which ejects the bullet out of the barrel, and then pulls back again to "shoot" again, which I'm guessing isn't the shoot-recoil-reposition cycle you intended.
The reason it reads wrong is because your recoil doesn't slow down. The gun should jump back the most in the first frame of the recoil, and subsequent recoil frames should have less movement because the energy of the recoil is being absorbed by the body. Instead, you have the gun moving 1 pixel in each of two recoil frames. Since you only have 2 pixels worth of recoil distance to work with, you don't have the space to show deceleration. I think you could still improve though: try having the entire recoil take only one frame, but keep the character "knocked back" for 2 frames as you currently do. That'll make the recoil seem more like a sudden backward jerk, and not letting the character recover instantly would imply that they're still counteracting the force.