A novel structure for use in the microwave cooking of foodstuffs for consumption is described. The structure includes a layer of flexible electroconductive material normally opaque to microwave radiation and having a plurality of elongate apertures therethrough dimensioned to permit microwave energy to pass through to the interior of the foodstuff and to produce thermal energy at the surface of the foodstuff. Both a microwave shielding effect and a combined microwave energy heating and thermal energy heating effect are obtained, enabling close control of the manner and extent of microwave cooking of the foodstuff to be obtained. The layer of flexible electroconductive material is supported by and adhered to a substrate layer of microwave energy transparent material in a multiple layer article of manufacture adapted to be formed into a packaging structure in which a foodstuff may be heated by microwave energy to an edible condition.