Here's what worked for me.

I started playing around with orders status (both on the Localization -> Orders Status Page and on the Config -> Super Orders page). Most of the settings on the Super Orders page were set to "Default" - but when I changed them to the Processing that my client will be using, the orders started appearing.

In my case, it was just that the "Default" setting wasn't working right, but once I changed it, everything worked.