You can select to post a copy of your mobile text message to your Facebook by linking your Facebook account to SMS Communications Manager.
This feature is supported for Web SMS as well as the broadcast message under Automated Tasks.
Add Facebook Account
Under the Settings page, click the Add button under Facebook Account. This will open the Facebook page that requires you to grant access permission.
Once added, your Facebook profile image and name will be displayed.
To remove the account, simply click the Remove button.
You can check your update history under the Message Store tab. Deleting a message posted to Facebook from the Message Store will only delete it locally and not from your Facebook account.
Please note that Facebook has a daily limit on the number of updates you can post from an external application. Once you hit the limit, you will have to wait for 24 hours before you can post again.