In tobacco feeding apparatus in a cigarette making machine, "shorts" are collected from the tobacco supply and are mixed by tumbling in a hollow rotating member such as a drum forming part of a cigarette-making machine, e.g. a main feed drum, a refuser drum, or a shorts return drum. In one embodiment shorts are fed into rotating annular sieves one within the other and mounted in a rotating drum, so that the shorts are graded as well as mixed. The mixed shorts are later incorporated in the tobacc...