Log Shipping from Synchronous Automatic Failover AlwaysOn Availability Group AAG
Are you doing your backups to a neutral independent server like a file share? If you're doing them locally (like to a drive on SQL01A or SQL01B) then log shipping won't work since the file path would change whenever there's a failover.

Instead, on SQL01A and SQL01B, write your backups to a UNC path (like \\myfileserver\myfileshare) and then SQL02 will always be able to find them there.