Pushing content from one WordPress website to another on same domain

I have two WordPress installations, WPStaging and WPLive which both sit on the same domain but in different directories.

I’ve tried using two plugins to push content from one to another which are: –

• Push Syndication
• SitePush

Push Syndication seems to work but doesn’t push the pages, it only pushes posts. Where as SitePush doesn’t work when the two sites are on the same domain, I haven’t tried them on sub domains yet but will.

My question’s are as follows: –

• Does anyone have a fixed for Push Syndication because it so nearly
  works and is very quick to set up?
• If not does anyone have a better
  solution instead of these plugins?