Basically I setup a standard network with some provider pipes, a default, some logistics crafting tables, etc. When I tried to use an iron chest adjacent to the table it would not pull the items needed from the chest. I am 100% sure the recipe was correct, non stacking items were set to satellite ID correctly, all of that stuff. The table just appears to not pull items from adjacent chests anymore.

LCT never supported pulling from a side Chest. Simply use the Internal buffer for unstackable items.

My apologies, I was used to the pre-1.6 system using BuildCraft Automatic Crafting Tables.