How to capture screen and sound by FMLE

Hi,

I have a problem. I wrote a Flash app to display fullscreen and edit video, eg. insert commercials, text layout, or display 2 video simultaneous...

It same here: 

Now I want using FMLE to capture this screen (with audio) and encoder multi-bitrate, then streaming it.

I think a way: display fullscrren my app on computer A, then, plug VGA to usb, connect VGA of computer A to usb of computer B. It here:

Is FMLE recognize usb device and encode it ? Do you have other way for captured screen  ?

Thanks