Outlook 2013's Active Sync support "fixes" this problem - task sync to Outlook.com and to the mobile devices that sync with Outlook.com.
We get the occasional question asking when the Outlook Connector will support syncing Tasks with Hotmail. Over the past several weeks, I've had several users ask if the Hotmail Connector is going to sync tasks, since Windows Phone "Mango" now syncs Hotmail Tasks.
No, the Outlook Hotmail Connector will not sync Tasks to Hotmail Live accounts. At this time, there are no plans to add task syncing to the Connector.
Syncing with Mango will be between Hotmail and the device directly; it won't go through Outlook.
At this time, I'm not aware of plans by Microsoft to develop a desktop sync utility for syncing between Outlook and Windows Phone. However, any sync tool that is made available would come from the Windows Phone product group or a 3rd party, not from the Outlook product group. Outlook just provides the data source for any sync process - it doesn't handle the sync.
Tools in the Spotlight
Use Akruto Sync to synchronize your Outlook Contacts and Calendar directly with Windows Phone, iPhone or iPad, and Android. Akruto Sync runs on your computer and makes your computer appear to mobile devices like a reduced functionality Microsoft Exchange server. Just run Akruto Sync on your computer and tell your phone that there is an Exchange Server in your house. Syncs via Wifi. Note: It does not sync Google Calendar and Outlook directly; it syncs Outlook with unlimited devices.
This Windows Phone task management tool allows you to sync your tasks directly to Outlook. You can create or edit your tasks on your phone and sync them down to outlook, or create them on outlook and sync them to your phone. Recurrence information is supported as well as reminders on your phone.