I'm not sure if there's already a way to do this in HomeGenie, but this will let you do the following from a web request (Android Tasker, etc):
http://{yourserver}/api/run/{Program} - Runs the specified program.
http://{yourserver}/api/run/{Module}:on - Turns the specified module on.
http://{yourserver}/api/run/{Module}:off - Turns the specified module off.
http://{yourserver}/api/run/{Module}:toggle - Toggles the specified module.
http://{yourserver}/api/run/{Module}:75 - Turns the specified module on to 75%.
Multiple runs can be done in a single request. ex:
http://{yourserver}/api/run/Outside%20Lights:on/Inside%20Fan:off
^- Turns the "Outside Lights" lights on and the "Inside Fan" off. Note the use of %20 for a {space}.
So with this and the Tasker app you can make a Tasker Shortcut on your Android home screen to run a Program or control a Module. Or pretty much any other Tasker trigger.