The American Civil War saw huge technological leaps, going from single shot rifle muskets and soldiers marching into combat in wide columns to lever action repeating rifles, early breech loading rifles, hand grenades, Gatling guns, and advanced trenchworks. It’s often shown that during the American Revolution, the only major change was that soldiers became more weary of sharpshooters and “Indian tactics”. Were there any new tactics or technologies learned or developed during the war besides what’s often taught in schools?
I've discussed tactics before and will link them. Some of the inventions that you mentioned occurring in the American Civil War happened in the eighteenth century and a couple in the late sixteenth century.
Early modern armies used hand grenades in the sixteenth century, but fell out of favor by the early decades of the eighteenth century. Navies also used them as part of boarding tactics but the armies employed them with the establishment of grenadiers. Considered an elite unit, these grenadiers had to be strong enough to throw these iron balls far enough away before causing any injury to their nearby fellow soldiers. They carried slow burning fuses to light the grenades before throwing them. At this point in history they were considered more dangerous to the thrower and nearby soldiers than the enemies. The grenadiers kept their status and uniforms, including the fuse cases, but no longer carried grenades. I will add here that grenades do originate in more older periods such as late antiquities. The ACW era grenades did improve upon the design and did not use a wick fuse. However, they had a considerable weight to them. I wish I could find a good source for it, but the British army did have a grenade launcher attachment for the Land Pattern muskets. The attached at the muzzle and I suppose would launch with a blank charge. There is one example of it, but I have never heard of it being used in battle. At least not in America.
Patrick Ferguson designed the Ferguson Rifle in the early 1770s which used a breechloading mechanism to load. He did adapt it from an earlier design in the century but this adaptation helped found later designs in the nineteenth century. The breech opened with the turning of the trigger guard that moved with a screw. The rifleman would load ball and powder there. It is a breechloader but it still has a ramrod to push down wad and powder. The British army created a rifle corps just for this weapon and drafted the best shots from the army to be part of it. It saw service ONLY in the Battle of the Brandywine in 1777. Contrary to belief - It did not appear at Kings Mountain where Ferguson died. After Brandywine, the army deemed it to be too much and a costly venture and disbanded the rifle corps. The rifles boxed and shipped to Britain. While just an experiment it was one of the innovations that occurred in the war. However, the British army did issue out rifles in the early part of the war. The British army distributed 1000 1776 pattern rifles to the regiments, mostly to the light companies, to combat against the American army's riflemen. Ferguson did patent the rifle and even after he died his family owned the patent until after the nineteenth century. A few civilian models were made by gunsmiths. They lack the bayonet lug since those marked it as a military weapon and had a wooden ramrod with flip rear sights.
A comment I made on tactics in the war. And here is another.
Edit: Put in another link