BlackBerry Forums Support Community - Outlook Outbox folders not visible

here is the KB article for Folder Redirection, You can also perform this redirection from your phone:
Folder redirection can be enabled from the Email Settings tool on the BlackBerry® smartphone, the BlackBerry® Desktop Manager on the computer, or the BlackBerry Manager or BlackBerry Administration Service in the BlackBerry® Enterprise Server. Complete the following steps for the appropriate option.

Note: The settings apply only to email messages that are received after the folder redirection changes have been saved.

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BlackBerry Smartphone
To set up folder redirection from the BlackBerry smartphone, complete the following steps:

Note: Folder redirection setup on the BlackBerry smartphone requires BlackBerry® Device Software 4.0.

From the Home screen of the BlackBerry smartphone, click Messages.
Press the Menu key and click View Folder.
In the Select Folder menu, highlight Inbox, press the Menu key and click Expand.
Select the folder that receives new email messages and any additional folders to be redirected to the BlackBerry smartphone.
Press the Menu key and click Select Folder.
Note: If the Expand option cannot be selected for any of the folders, or if the Select Folder option is not available, turn off the Wireless Reconcile option on the BlackBerry smartphone and then turn it on again. To access the Wireless Reconcile option, click Messages, then press the Menu key and click Options > Email Reconciliation.

Press the Menu key and click Save.
For BlackBerry Device Software 4.5 to 5.0, including smartphones in the BlackBerry® Storm2xxx8482; series, complete the following steps:

From the Home screen of the BlackBerry smartphone, click the Desktop mailbox.
Press the Menu key and click Options then click Email Settings.
Press the Menu key and select Folder Redirection.
Expand Desktop, expand Mailbox - <Mailbox Name> and expand Inbox as necessary.
Select or clear each check box as required (select check boxes for any folders required to be redirected to the BlackBerry smartphone).
For BlackBerry® 6, complete the following steps:

From the Home screen, select the Desktop message icon.
Click the Menu key and select Options.
From the Email Preferences screen, click Email Preferences.
At the top of the Email Preferences screen, select the Desktop Message Service and click the Menu key.
Highlight and select Folder Redirection.
Choose the mailbox, expand if necessary, and check folder items to redirect.
Press the Menu key and click Save.

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BlackBerry Desktop Manager
Open the BlackBerry Desktop Manager and double-click Email Settings.
Click the General tab.
In the Folder Redirection section, select the Selected folders option.
Click Choose Folders.
In the Choose Folders window, expand the folder that receives new email messages.
Select the folder that receives new email messages and any additional folders to be redirected to the BlackBerry smartphone.
Click OK.

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BlackBerry Enterprise Server
To set up folder redirection from BlackBerry Enterprise Server 4.0, complete the following steps:

Note: Folder redirection is not available in the BlackBerry Manager in BlackBerry Enterprise Server 4.0 for IBM® Lotus® Domino®.

In the BlackBerry Manager, right-click a BlackBerry smartphone user's name and click Properties.
Click the Redirection tab.
Select the Selected Folders option, then click Choose Folders.
Expand the folder that receives new email messages in the Choose Folders window.
Select the folder that receives new email messages and any additional folders to be redirected to the BlackBerry smartphone.
Click OK.
Click OK again.

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To set up folder redirection from the BlackBerry Enterprise Server 4.1, complete the following steps:

In the BlackBerry Manager, click the server in the left pane.

Go to User > Service Access > Choose Folders.
Select the folders to be redirected to the BlackBerry smartphone.
Select the folders and sub-folders that are to be redirected to the BlackBerry smartphone.
Select the check box beside the folders to be redirected.
Click OK.

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To set up folder redirection from the BlackBerry Administration Service for BlackBerry Enterprise Server 5.0, complete the following steps:

Log into the BlackBerry Administration Service web console.
Expand User under BlackBerry Solution Management.
Click Manage Users.
Search for the user and click on the user's display name.
Click Default configuration under the Messaging Configuration section of the User Information tab of the user view.
Click the email tab.
Click Edit user.
Select Selected folders under the Redirection settings.
Select the folders that need to be redirected.
Click Continue to user information edit.
Click Save all.