I am also having this problem. New files and library moves do not appear on my ipad consistently. However, changes I make on my ipad (e.g. adding annotations) are reflected on other devices. I have tried triggering a sync by pulling down on the items list, restarting the ipad app, and restarting the ipad.
Sorry for the delay. Are you still having trouble?
Can you provide another Debug ID from the iPad for the first sync after making a change to that item (e.g., changing a field or adding a tag) in the web library? Be sure to start debug output logging, make the change online, trigger the sync, and then submit the output.
An example of a URL that does not currently appear on my ipad but is on my computer and in the web library is https://www.zotero.org/ameliaholcomb/collections/LRS3XM23/items/YR3AQYQ2/attachment/7PEFH8HI/reader
Here is a debug ID, let me know if I recorded it improperly:
D1140650107
Can you provide another Debug ID from the iPad for the first sync after making a change to that item (e.g., changing a field or adding a tag) in the web library? Be sure to start debug output logging, make the change online, trigger the sync, and then submit the output.