Creating an Organizational Forms Library in Exchange 2013 or Office 365 Exchange Online is much easier than creating it in Exchange 2010: at most, you'll need to run three cmdlets to set up the Organizational Forms Library: one to create the Public Folder Mailbox (if a Public Folder Mailbox doesn't already exist), then create the new public folder and set the new folder's EformsLocaleID.

Once the library is published, you'll need to use Outlook 2010 to publish custom forms to it or use *.fdm files to publish; Outlook 2013 can use forms in the Org Forms library, but can't publish to it.

Instructions for Creating an Organizational Forms Library in Exchange 2010 and Create an Organizational Forms Library in Exchange 2007.

Step-by-step instructions

1. Open PowerShell using Run as Administrator. Run the following cmdlet to bring up the log in dialog. Enter the Exchange server's administrator username and password. Note, you must have administrator rights to the server to use this.
   $LiveCred = Get-Credential
2. Next, run this cmdlet:
   $Session = New-PSSession -ConfigurationName Microsoft.Exchange -ConnectionUri https://ps.outlook.com/powershell/ -Credential $LiveCred -Authentication Basic -AllowRedirection
3. And then run this cmdlet:
   Import-PSSession $Session
4. If you need to create the Public Folder Mailbox, you can create it using the console or using this cmdlet:
   New-Mailbox -PublicFolder -Name PFHierarchy
5. When the Public Folder Mailbox exists, run these two cmdlets to create the Organizational Forms Library Public folder and set the LocaleID. Don't forget to change the EformsLocaleID if needed.
   New-PublicFolder -Path "\NON_IPM_SUBTREE\EFORMS REGISTRY" -Name "Organizational Forms Library"
   then
   Set-PublicFolder "\NON_IPM_SUBTREE\EFORMS REGISTRY\Organizational Forms Library" –EformsLocaleID EN-US

If your Exchange server supports multiple languages, you can create one Org Library for each LocaleID. You'll need to use a unique name for each library.
 

Use or Publish forms

By default, users should have permission to the Organizational forms library, but if a user does not have permission to the folder, the administrator needs to give the person or group at least Read  permission. In Office 365 Exchange Online, you'll need to assign Author permission or higher to use the forms library. This can be done using the Add-PublicFolderClientPermission cmdlet.

Add-PublicFolderClientPermission -identity "\NON_IPM_SUBTREE\EFORMS REGISTRY\Organizational Forms Library" -user maryc -AccessRights ReadItems

To publish custom forms to the Organizational forms library, the user needs CreateItems permission. In Office 365 Exchange Online, users will need Owner permission.
Add-PublicFolderClientPermission -identity "\NON_IPM_SUBTREE\EFORMS REGISTRY\Organizational Forms Library" -user maryc -AccessRights CreateItems

Outlook 2013 users will have access to the Organizational forms library but cannot publish to it using Publish custom forms. Outlook 2013 users can install *.FDM files.

 
To publish a form as an FDM file:

1. First publish the form to Outlook Folders or Personal Forms Library.
2. Open the Forms Manager dialog (File, Options, Advanced, Custom Forms, Manage Forms).
3. Select the form and click Save as. (1 in screenshot)
   
4. Click Set at the top right of the Forms Manager dialog and choose Organization Forms. (2)
5. Click Install. (3)
6. Browse to the location you saved the form (*.FDM), select Form Message (*.fdm) as the file type then select and open the saved form.
   
7. The Form Properties dialog opens. Click Ok to install or fill in the properties then click Ok.
8. Close the dialogs and return to Outlook.

Users will see the forms from the Organizational Forms Library.