Various smelting recipes (for example iron, steel) are missing from the advanced furnace when combining K2 and IR2.
It looks to me as if the advanced furnace provides the same recipe selection as the IR2 stone furnace. However, in IR2 mid- to late game smelting recipes are only available with bronze and electric furnaces, and some are even restricted to only electric furnaces. Therefore I think the advanced furnace should mirror the recipe selection of the electric furnace, not the stone furnace.
Edit: Digging a bit into the prototypes, I think "smelting-1", "smelting-2" and "smelting-3" should be added to the advanced furnace's crafting categories.