In order to re-assign a repair ticket to a technician in RepairDesk, go to Ticket detail page. Select the action button in front of the problem and select pre post device condition. A pop up will appear. On the top right you will see Assigned to. Select the technician you wish to assign it to and hit save.
You can also assign ticket to a technician from the Manage Tickets page. Click on the Assigned To against a ticket and select technician from the drop down menu.