*The account must be assigned the Organization Management role on a target Microsoft Exchange server. See Assigning Organization Management Role.*
Спасибо, в моем случае применим этот пункт, ибо УЗ от которой будет восстановление не имеет ПЯ.
To grant Full Access to the account that do not own a mailbox (i.e. through impersonation), use the following cmdlet.
New-ManagementRoleAssignment -Name "<role_name>" -Role ApplicationImpersonation -User "<user_account>"