The local domain controller has attempted to replicate an object from the source domain controller. This object is not present on the local domain controller because it may have been deleted and already garbage collected. Replication will not continue with the source domain controller until the situation has been resolved.
Verify that the object was deleted on this domain controller or in the forest.
If you want to restore the object, authoritatively, restore the object on the source domain controller.
If you do not want to restore the object, use repadmin /removelingeringobjects on the source domain controller to remove the object from the forest and continue replication.
To allow automatic restoration of this object and future similar objects, enable loose replication consistency by unsetting the following registry key: HKEY_LOCAL_MACHINE\%5\%4
For more information, see:
Event ID 1388 or 1988: A lingering object is detected