I don't know. No Facebook experience here.
On Supermotors there's an "Embed" code to the left of the video that you copy & paste, but it doesn't seem to work here. Does Facebook show any codes alongside the video? I thought Facebook had membership restrictions on viewing, so that may come into play as well. Youtube seems to be the most common video to embed. You might have to settle for a link, or upload it to Youtube. Hopefully someone with Facebook experience will jump in.