Three things with triggers help one shoot accurately.
First, the trigger has to break clean (such as breaking a glass rod in half) and repeatable in pull weight for every shot. Even 4.5 pound triggers on M1 and M14 service rifles or a 3.5 pound one on a Palma rifle can be adjusted to do this very repeatable. Factory rifle triggers vary quite a bit; some are better than others in this regard.
Second, the heavier the pull weight, the more one has to hold onto the stock's pistol grip so the trigger hand doesn't move after the sear's released the firing pin (or hammer).
Third, the trigger must be pulled straight back so when the sear releases the firing pin, the force imparted to the rifle when it stops moving pulls it straight back into ones shoulder. And no part of the trigger finger should touch the stock; laying a trigger finger on the stock's a sure way to cause problems. If the trigger finger's too far onto the trigger, the rifle gets pulled towards the trigger hand; too little and the rifle pushes away from the trigger hand. With a scope, dry fire and watch carefully where the reticule moves as you pull the trigger; move the finger on the trigger until the rifle stays still when it dry fired. You've got to keep your eyes open and see where the reticule jumps. It needs to stay put when you fire the rifle. And keep your trigger finger back until the rifle stops moving from recoil. Flicking your finger off the trigger when the rifle fires is one good way to cause the barrel to point some other place than where you want it to when the bullet leaves.