Hi, @nathen007! Great question :)

The plant cannot break down chitin (which is the main component of most exoskeletons), so this is left in the "jaw" once the entire animal has been digested. I have no idea what happens to the leftover chitin, but I assume that it simply gets carried away by the wind, by water, or just stay in the jaw.

I'm pretty sure that it does not have the ability to eject things that get stuck on it's own, but have to depend on the elements (air/water) to get rid of the things.