This a quick tutorial repost twitter tweet to Facebook page with no plugin required which I used for this website.
1) Before you proceed, please register your Twitter and Facebook account. For Facebook, you have already know how to create a Facebook Page (Facebook Page is different from Facebook Profile). If you do, on different tab, login to your Facebook.
2) Create a new tab browser and go to https://twitter.com/settings/applications and click “Connect to Facebook”
3) Status connection will appear as follow. Click on “Allow” posting to one of your page.
4) If you have created a Facebook page, it will appear part of the drop the down list
5) For me, I don’t want to post on my profile page. If you want the same setting, untick the “post to my Facebook profile”