iammane has it right in the previous post. Auxy almost always backs up each project into iCloud Drive/Auxy/Backups every time you close it and open a new one, or have that project open and close the app as far as I can tell. I do this rather frequently from my iPad to my phone to transfer the occasional project.
To import the project on your second device, the way that I find is easiest is: 1) open the project on your first device, and close the app or open a different project so that it backs up. 2) On your second device, in the projects screen, hit “import” in the top right, and it should go to your backups folder automatically. If you’re not in the backups folder by default, you can navigate there. 3) Find the most recent backup of the project you’re looking to transfer. Each backup file will have a timestamp in its name as well as displaying a time stamp on the right side of the list. 4) Just click on the most recent backup file, and Auxy will import the project and ask you to either “replace” (overwrite) or “duplicate” (import this one as a new project) if a project with the same name exists. Otherwise it’ll simply import it if a project with that name doesn’t already exist.
Alternatively, you can export the project link from the “export” tab, and then AirDrop the link to your other device. Doing so will open that project on the other device, in the same way that the app would open any other project link from another source. This works well and gets around the occasionally finicky backup system, but also can be slower in some cases like if you don’t have both devices on hand or you have to turn on AirDrop and all that.
Both of these methods are seamless, and I’ve personally found using backups is easier than airdropping for my workflow. Just be careful to import the right project with backups (check the timestamps and be diligent about remembering when you backed up the project last on the other device). If you aren’t sure if you’re importing the right version you can always hit “duplicate” instead of “replace” (if those options come up) to check that it’s the right one.