Missing Google BackupTransportService in Cyanogenmod 11
I think this issue is ROM related, the .BackupTransportService should be there.
I've checked the list on a similar setup (LG Optimus G, CM11 20140813 nightly)

bmgr list transports
  * com.google.android.backup/.BackupTransportService
    android/com.android.internal.backup.LocalTransport


Have you tried newer CM versions?

(Also see this thread at XDA from Nov. 2013)