The object is restored but the linked attributes (for example cross-domain group membership) are not.
The online restore is performed in two steps:
Below is the Microsoft article with the explanation and the list of linked in attributes:
http://msdn.microsoft.com/en-us/library/windows/desktop/ms677270(v=vs.85).aspx
To be able to restore the linked attributes the object should be replicated in the forest.
There are two ways to restore the linked attributes:
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