That does not seem to belong in features category, I moved it for you.
So if you use template ‘Full twitter time line’ it should show everything correctly (it does for us)
Make sure that everything is correct, according to http://xibo.org.uk/manual-tempel/en/media_module_twitter.html and this Using Tickers, Forecast, Twitter and other external resources that make use of HTTPS connections
Are there any erros in CMS logs? (you might need to enable debugging on Report fault page to see logs)
Update to 1.7.6 would be recommended too.
As for facebook, it’s not directly integrated with Xibo, you could use https://developers.facebook.com/docs/plugins/embedded-posts
and embedded html module to display it in Xibo.