Adopting a longer-back, shorter-through stroke helps remove the “steering” impulse you might have that often gets the putterhead twisting and hitting the ball off-line.
To fix the fats with your short clubs, try moving the ball forward in your stance, which promotes the proper weight transfer to your front side on the downswing and the ball-then-turf contact you want.
The majority of golfers play a slice off the tee, costing themselves valuable distance. The ball’s significant movement from left-to-right in the air (for right-handers) decreases distance due to the excessive amount of sidespin.