I don't shoot trap or skeet at any kind of club or range, and no one taught me how to do it properly. But I think I'm pretty good at it
better than my friends anyway. I can generally break two clays with two shots, hand thrown or machine thrown, with my 20" (maybe it's an 18"?) mossberg maverick.
When I shoot clays I don't lower my shot gun at all. Obviously I start with an empty chamber with the gun at waist level, action open. I close the action when I say pull. I action the shotgun as needed while sighting down the barrel. When I have broken my two clays, or whatever the game may be, and I'm done shooting I leave the action open and hand the gun off to whomever is next in line.
Hope that was helpful.