The distributor of a cigarette rod making machine employs a zig-zag sifter which receives a mixture of tobacco ribs and shreds from a reservoir by way of a duct or an elevator conveyor. The shreds leave the uppermost stage of the sifter and are conveyed, by a Coanda separator, into an upright gathering duct which discharges shreds for delivery onto the concave surface(s) of one or more guides serving to direct one or more streams of shreds against the underside(s) of one or more foraminous belt conveyors which advance the stream(s) past one or more trimming devices serving to remove the surplus and to thus convert each stream into a rod-like filler which is ready to be draped into a web of cigarette paper. The removed surplus is returned into the reservoir or directly into the zig-zag sifter.