This article explains why the Method PUSH™ status on your Method Integration Engine shows a status of Connection Failure, and how to get it Connected.
The most common reasons for a failed connection is due to web traffic restrictions on your machine:
When launching QuickBooks and opening your company file, the Method Integration Engine automatically launches and starts a Changes-Only sync. Near the bottom of the Integration Engine, you'll notice a line that shows the Method PUSH™ connection status. This is the feature that provides real-time synchronization between Method and QuickBooks.