[DerekM]

OmniFocus will continue its sync if one has been started when the app is backgrounded. OmniOutliner and other OmniPresence iPad apps should finish any sync that was in progress when it is backgrounded. However, since this is document based syncing, it can not start up new transfers when it is backgrounded. This is a limitation imposed by iOS so there aren't numerous apps in the background eating up battery life.