Facebook – Automatic Facebook post from Twitter list

You may need to check your settings on both services to make sure you have chosen the correct time-zone. If you're in a country that doesn't observe DST, make sure you select the correct time-zone or un-tick the box to adjust for DST. I honestly don't use Facebook or Twitter (I'm a bit of a paranoid security geek), but I do know that Facebook won't let you change your time-zone after your account is set (Facebook Help Centre). And Twitter, on the flip-side does "hours ago..." rather than a specific date/time. There might be an account-setting that adjusts that to your local time-zone, but that's up to you to look for.

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.