The best way to manage your firearms on the desktop and Android devices is now available on the iTunes App store!
The posted version is 2 versions behind the Android version but the latest version is already submitted -- hopefully it'll just be a couple days before the new release is approved by Apple. It will fix Syncing and add some other features and will be the same version as the Android releases as of then.
So yes, the Syncing isn't working in this version, but it's already fixed for the next release.
Please let me know any questions or suggestions you may have!