To sync projects with the iPad version of tinyGantt or with other Mac computers, you need to save your document to iCloud Drive service. You can do it directly from the application file menu or you can do it manually as described on this video.
1. Be sure that tinyGantt is enabled in iCloud Drive Preferences.
2. Move the project to tinyGantt folder inside iCloud Drive folder.
3. On the iPad, launch tinyGantt and the project will automatically appears on your list of documents.