Posts and Pages not showing on admin, but showing in theme

That is Core code trying to use a Core function. You have almost certainly had a problem with the transfer.

  1. Very carefully, re-upload all of the files. I expect some file is
    missing or corrupt.
  2. And make sure that all of your permissions are correct.

It would probably be a good idea to disable plugins and switch to a default theme as well. Since you can’t get into the backend you will need to remove or rename the theme and plugin folders via FTP.

Since you just transfered, I am assuming that you have good backups.