A cigarette maker wherein batches consisting of a first type of tobacco particles are deposited at intervals at one side of a suction belt conveyor and the gaps between successive batches are filled with tobacco particles of a second type to form a composite stream which is thereupon homogenized in regions where the batches abut the accumulations of particles of the second type to thus avoid the presence of cavities in the rod-like filler into which the stream is converted preparatory to draping of the filler into a web of cigarette paper. The homogenizing operation can involve mere shifting of particles of the second type toward the belt conveyor or a trimming of the stream with attendant formation of protuberances in the regions of abutment of batches against the accumulations of particles of the second type. The protuberances are eliminated during draping so that the density of the corresponding portions of the filler is increased.