I use Facebook Origami plugin and everything works well in the viewer – you have to click to see the animation.
But when I try to export the composition to .mov it generates a clip filled with a static image. How to "record" the interaction to make the animation visible?
One way to do this is to "record" your mouse movements and then play them back for recording. You can do this either using a few Queue patches or via JavaScript. Record your interaction and then play it back when recording your movie.
Here's what it could look like in JavaScript: