Please share insight on how to inspire junior enlisted to be more actively engaged during training?

Why not solicit suggestions of training topics from the Soldiers and then have them teach the classes after briefing you on the classes? It would develop leaders while simultaneously increasing participation and understanding?

I definitely agree with some of the other posters that you should avoid 'death by powerpoint.' No one likes it because we all have to sit through it all the time every place you go. Get the soldiers involved whether they are the ones teaching the class, asking questions, or even performing skits. Keep power point use to the minimum. I even have a pic that illustrates some very good points. :)

I think part of the problem was revealed in your comments in "training takes a backseat" and ends up being "death by powerpoint." I'm in the reserve component as well, so I definitely understand the timing and requirements problem. However, if we expect our enlisted to engage more in training then we have to find ways to make training more of a priority. It's hard to inspire somebody else to engage in something if they think the leadership doesn't prioritize it. So when you say "break them of this habit" I'm not sure who you mean, but it sounds like the habit that leadership may have the most influence on is themselves, and making training more of a priority and more engaging itself. Then leadership can approach it as "I know training hasn't been as engaging as we've all wanted it to be in the past, but we're working on changing that. Here is what we're doing. Now I need your help to make sure we don't go back to the way things were. I need you to engage and give us feedback." -- I believe this would help some of the issues you're facing. Easier said than done, but I think it's a more sustainable solution.