A dosage-dispensing unit for dosage material of a powdery or granular consistency includes a housing, at least one reservoir cavity that is formed inside the housing and serves to receive dosage material, and at least one dispensing head comprising an elastomeric material. The dispensing head has an outlet which is slit-shaped in its non-deformed state and is delimited by a first outlet lip and a second outlet lip, and which can be opened to a variable width by the application of a lateral compressive force. The arrangement further includes at least a first motion-transmitting means designed to impart an oscillatory movement to the first outlet lip relative to, and in the lengthwise direction of, the second outlet lip. Figure 1 is the representative figure.