Hi Andy
Sorry to hear you are having problems - but I don't fully follow your description.
Are you saying, for example, that you can see all of your Vyrso ebooks on your iPad but not on your iPhone?
You might try entering the command "rebuild index" into the Reference box on the home page and see if that helps. It can take some minutes to carry this out
Other than that, you will probably need to contact Customer Services - https://www.logos.com/contact - as they have access to account details
Graham
Regarding the Vyrso app have you checked the toggle in settings determining whether all resources are shown or not?
Regarding the Faithlife app - is the ESV the only difference between the two devices?
In other words, do you see the other resources you would expect to see on both?
This one very much sounds like a different account issue
I've contacted support via email three times in last two,weeks with no resolution.
Unfortunately, as you have discovered, that is the worst way to get customer service from Faithlife. A phone call or forum post is much better.