An apparatus including a co-extrusion device for extruding a multi-layer structure having at least one primary layer and at least one secondary layer, so that the multi-layer structure leaves the co-extrusion device along an exit direction; a mould provided with a pair of elements, at least one of the elements being movable towards the other in a moulding direction, so as to compression mould an object from a multi-layer dose which was severed from the multi-layer structure; a transport device for carrying the dose towards the mould; an arrangement for modifying orientation of the dose while the dose is being transported by the transport device, so that the dose is introduced into the mould with an orientation in which the secondary layer extends transversely to the moulding direction.