Updating facebook status through twitter
Selective Twitter is an app which allows you to selectively post your tweets to your Facebook wall.
To configure the app to post tweets to your Facbeook profile, enter your Twitter username, and grant it access to your Facebook profile.
(It’s made by Twitter itself.)2) Allow Twitter to access your profile.3) Log into your Twitter account (via the Twitter application inside Facebook).
Palo Alto has offered this particular feature for Facebook Pages for quite some time now.
It's great for businesses, bands, public figures, and whoever else manages a Facebook Page and an accompanying Twitter account.
While clearly not as popular, there are also some options on how to post your Facebook status updates to your Twitter feed, whether from your Facebook page or personal profile.
A third option yet is to post to both networks simultaneously using a third party application.