I do shoot 2 hands. Right hand on the grip, and left hand underneath my right hand.
There's your problem, the "Tea Cup" grip as its called provides zero support during recoil.
With additional need to control this energy you are anticipating the recoil and not concentrating on the sight picture.
Get your weak side hand up and grab the strong side hand interlocking the fingers like you would with a Hogue wrap around stock with finger swells.
Does that make sense? Kinda like a golf grip w/o the pinkie lock. I think, I don't golf anymore. I quit drinking and found out how boring that game really was!
Now here's the trick, lighten up the strong side hand and transform the pressure over to the weak side hand, try the ratio of ~60/40. Using the weak side hand, squeeze the strong side fingers into the stock. The relaxed trigger finger, when pulled, will not drag the rest of the fingers along for the ride. This adds a great deal more muzzle control.
Try it, it work’s.