support.omnigroup.com · Saved

OmniFocus Push-Triggered Sync - Support - The Omni Group

support.omnigroup.com/omnifocus-push-architecture

From the page

Saved with the link. Notes from 2007 to 2016 are mostly the page's own words, so this is probably an excerpt.

Push-triggered sync is a new feature in OmniFocus that uses push notifications to keep all your devices up to date. When OmniFocus receives a push notification, it can silently pull down changes from Omni Sync Server or your own private server, so you’re ready to go the next time you open OmniFocus. This all happens in the background without OmniFocus needing to be launched manually.