GnuCash Android has for some time (since version 1.4.0) supported importing accounts from GnuCash desktop. However, the first iteration of this feature was not very easy to use. It was necessary to first export the accounts from GnuCash desktop as non-compressed XML and then feed that output file into GnuCash Android.
With recent updates, it is longer necessary to export accounts before importing into the Android app. Your GnuCash XML file from the desktop app can be directly imported by the GnuCash Android app without any modifications. Also you do not need to worry about whether or not your XML file is compressed or not, both are supported. All you need to do is to make sure you save your GnuCash files as XML (and not SQLite database format).
GnuCash Android version 1.6.0 also supports backing up your transactions to GnuCash XML format, as well as limited support for parsing template transactions and scheduled transactions. This, combined with the scheduled exports feature, makes it possible to regularly backup your accounts and transactions as GnuCash XML and view these backups in the GnuCash desktop app.
We hope this simplification around file import improves the utility of the GnuCash Android app vis-á-vis GnuCash desktop. As always, feedback is always welcome.