A sheet processing machine with a transfer mechanism for moving sheets along a handling direction of the sheet processing machine and with a waste evacuation device (36) for releasing the sheets. The transport mechanism comprises at least one sheet handling element (28) for moving a sheet. The waste evacuation device (36) further comprises a passage (46) formed between an opening surface (48) and a restraint surface (50). The at least one sheet handling element (28) comprises a first sliding element (68) and a second sliding element (70) being in contact with the opening surface (48) and the restraint surface (50), respectively, when passing the waste evacuation device (36).

In one aspect, the present disclosure is directed to a dispenser assembly for dispensing supplies of sheet material. The dispensing assembly can include a carrier supporting the supplies of sheet material and being moveable along a track between various dispensing positions. The dispenser assembly also can include a carrier pivoting assembly with a lever that engages one of the supplies of sheet material and rotates during dispensing thereof, as well as one or more biased pins connected to the lever and configured to engage locking features provided along the track to support the carrier in one of the dispensing positions. The biased pins further can be configured to retract with rotation of the lever such that they disengage the locking features so the carrier to moves along the track to different dispensing position. Other aspects also are described.