This is very simple. Go to Settings > User Settings > Sync Flight Plans and/or Sync Aircraft and/or Sync User Waypoints
Make sure you do this on each device to enable syncing between them.
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Aircraft syncing general advice:
When preparing to sync to a new device, it's important to make sure that the snapshot of your aircraft up in your section of AvPlan Cloud is the most up-to-date one. If you don't, there is a possibility that you can overwrite your current aircraft stored on your device. To ensure you avoid this situation, take the following steps:
Open the device that you are sure has the correct aircraft set up on it.
Tap Settings > User Settings and ensure that Sync Aircraft is ticked. Then,
Tap Settings > Aircraft Type Database.
Tap on an aircraft you have set up and make one simple change (One that won't have a large effect on the flight planning you've already set up - amending the price of Fuel up or down by one cent is enough for the purposes of syncing).
Once you've made the alteration, tap the back button ( < symbol in the top-left of the window) two or three times - until you're prompted to save or discard your changes. Tap Save.
AvPlan EFB will now push up an up-to-date snapshot of your aircraft to the cloud.
Now, you can pick up your other device(s) and do the following (assuming you're logged in):
Tap Settings > User Settings and ensure that Sync Aircraft is ticked.
Tap Settings > Aircraft Type Database.
Tap the circular arrow icon in the bottom-left corner of the screen. The app should say 'Restoring' for a few seconds.
The aircraft from your first device should now be present on your new device.
NOTE: If you tap the circular arrow icon without a snapshot of your aircraft saved in the cloud, the current saved aircraft on that device may be overwritten with no aircraft.