Apparatuses are provided for manufacturing a rod member for a cigarette filter element. Each rod member defines a longitudinal axis and includes a generally longitudinally-extending filter material and a plurality of objects disposed therein along the longitudinal axis. Such an apparatus comprises a rod-forming unit configured to form a continuous supply of a filter material into a continuous cylindrical rod member. An object insertion unit is configured to introduce a plurality of objects into engagement with the rod member. A rod-dividing unit is configured to divide the rod member into a plurality of rod portions such that each rod portion includes a plurality of the objects. Associated methods are also provided.