We upload our tutorial videos to youtube every day and it gets auto shared to my FB profile and twitter account. Now we need it to get shared to our official FB page, but there is no such options at YouTube Social settings. Do you know any other 3rd party services, which can handle this auto sharing ?
Log into your Facebook account. Search for Cueler YouTube (an app that will allow you to do what you describe above). Choose the Page you want the YouTube channel to be displayed in a tab on. Go to the Page, click the tab & configure. Good luck.
Click on this link :- https://apps.facebook.com/mytubechannel/ And Install this app on your relevant facebook page
There are social marketing tools that let you cross-post to different social networks (youtube, facebook, twitter, etc.) many also let you upload content such as pictures and videos to various networks from the same control panel.