When you unlock more advanced materials (for example, rough lumbers), your materials from the previous tier machines (cants) are used only for processing and are no longer delivered to your storage. That means you can no longer fulfill orders for cants.
If you need cants to complete the order, cancel it and accept a new one. The new order will require new materials.
Upgrade your new machine speed so that the materials don't pile.
 
Stuck order