You're able to sync VSCO edits through multiple IOS devices you own when you turn on iCloud photo sync for your devices.
Please note, this is only syncing the device Photo Camera Roll app between shared IOS devices. This will not sync the VSCO Studio between multiple devices as the content is stored locally on each device, not on VSCO.
Instructions to turn on iCloud Photo sync inside your device Settings
-Go to your iPhone/iPad device Settings
-Scroll down to Photos
-Slide iCloud Photos to On position
Now when you make edits on one device inside VSCO, the export will be saved in all of your synced IOS devices inside the device's Photo Camera Roll app.