As I mentioned in the other thread it looks to me there is a problem with a proper syncing of the books metadatas. After a fresh install of the iOS application (not just update of a new version) all metadata (ratings and tags) are synced to my iPad and iPhone properly. After that however it stays unchanged even though I add some ratings (or change) or add some new tags to any of the books.
Highlightings and notes sync properly though and after any changes they show up on my devices in a few minutes. Not so any changed/added ratings or tags.
I am running PC version of Logos 4 latest beta 4.5c Beta 3 (4.53.0.2109) and the latest version of the iOS 2.1.5. on the iPad 2 and iPhone 4 (iOS 5.1.1)
On my iPhone there is about 2.7 GB free space and on the iPad there is even more, about 9 GB free space. I have a good Internet speed and have never had any problems with a bigger downloads.
I noticed the problem after the filtering feature for download of books had been added. I added tag named iPad and changed about 380 books with that tag. It did not showed up on my devices, only after uninstall and re-install of both Logos and Vyrso (the problem seams to be the same for both).