After many tests i was ready to upload videos as live in Facebook profile and page. From friday 31/5 i can provide the class which will allow your users to share videos as live on Facebook Pages. I can provide even for Facebook Profiles, but there is required the permission publish_video https://developers.facebook.com/docs/live-video-api/getting-started/ which i doubt Facebook will approve it with pre recorded videos.
If you want this feature, prepare your server for FFMPEGG.
I will check to add same even for Youtube.