Twitter – How to Share Tweets on Facebook

The Google+ API is read only at the moment. Google is working with select partners to provide the Page API which allows writing to the page. You may be able to work with one of these partners (see http://www.google.com/+/business/3rdpartytools.html) to get what you need.

You can also request access to this API at https://developers.google.com/+/api/pages-signup, however there is no indication when, or even if, they would grant you access if you apply for it using this page.

Since everything is failing I'd recommend you to use Selective Tweets. Use this guide

If you are active on both Twitter and Facebook then you probably already know how much work it can be to keep both feeds updated. Some people prefer to keep their Facebook private, while Twitter lends itself to more impersonal interaction and updates. Although there are services that send every tweet to Facebook, that isn't always the ideal solution for users.

Selective Twitter allows you to pick which tweets will be posted on your Facebook account. In this simple guide we will show you how to set up the service, and how to use it You may be greeted with a prompt similar to the one above to turn off secure browsing. It's all right to click on Continue, just make sure to log out and back in to Facebook after you are done setting up Selective Twitter to force your Facebook account back into an https connection. After you have logged in and pressed Continue to go past the secure-connection warning, you should see a screen similar to the one above. All you have to do to set up the Selective Twitter service is input your Twitter username, and press Save.

One thing to keep in mind is that if your Twitter account is set to private, Selective Twitter will not work. The service relies on Twitters' public search, a search that doesn't return private account tweets.