Renas,
You'll need to add that information as Open Graph tags to the page the video is shown on. YouTube automatically generates the proper Open Graph tags specifying the title, description, image to use, and size. I believe you just need to add the following tag to your page to let Facebook know where to look:
{SCOpenGraph video=http://www.youtube.com/xzy}
Once added, try to use the debug tool on the page again and see what happens. You may also want to add all the information about the video yourself to that page by specifying image and other tags. You can see all the ones recommended for videos on the page below:
developers.facebook.com/docs/opengraph/video/
Hope that helps get you started,
Alex