Pouches (2) of cohesionless material, typically a smokeless tobacco product, are manufactured by conveying portions of the tobacco initially on a dispensing disc (5a) with cavities (7) from a delivery station (8) to a transfer station (9), where each portion of tobacco is then removed forcibly from the relative cavity by an ejection system (14) and directed into a duct (12) connecting with a wrapping station (10) at which the pouches (2) are formed, filled and sealed; the removal and transfer of each portion from the cavity (7) of the disc (5a) into the duct (12) is controlled in such a way as to displace the material by degrees and ensure its smooth passage toward the wrapping station.