You've gotten some very good advice here. A few things that I've found over the years:
1. A lever-action Marlin or Winchester can be a good shooter, but barrels and magazine tubes are tightly attached to barrels, so are susceptible to walking shots on paper as the barrel heats, or with varying sling pressure, ammo changes, etc. For best results, don't let the barrel get warm because as it lengthens, shots may walk on target, often lower. If zeroed in warm weather, then shot when several degrees colder, shots may print higher.
2. Trigger pulls on lever-actions and other rifles often lack the short, light pull and/or backlash control that good bolt-action centerfire and rimfire target rifles do. Pulls can be improved by a good gunsmith. If a trigger weighs over 4 lbs., or is rough and inconsistent, it might be a good idea to see what can be done to improve it. (Actually, some people do a bit better if there's a little smooth pre-travel because they tend to not jerk them like they may with shorter pulls.)
3. Follow-through is very important when offhand shooting. It's more important on rifles with rifles and handguns with slow lock-time or lower bullet velocity. Try not to take the gun down immediately, but keep it as steady as possible until the shot is well out of the bore. One way to do that is to make believe that a second shot is to be fired, whether it's a semi-auto or not.
4. Take a solid hold, but not too tight as to be shaky. In shooting from any position, including benchrest, try to make each shot the same as the last.
5. Benchrest- use the same pull-back against the shoulder, the same rifle position on the bag (use front forend stop?), same cheek pressure (or none). Same amount of downward pressure on forend (if used). Downward pressure on hard-kicking rifles is often a good idea. Make sure the front bag fits the forend well; neither too tight or too loose. Consistency, consistency, consistency!
6. Use wind flags, especially for rimfire or longer centerfire shots. Try to shoot only ONE wind flag condition, whenever possible. If not, learn the effects of wind from every "clock" position.
7. Relax and make shooting fun, not tension-filled and stressful.