A cleaning shoe for an agricultural machine includes a chaffer supported for movement relative to a chassis, a sieve positioned below the chaffer and supported for movement relative to the chassis. The cleaning shoe also includes a first link, a second link, and a drive shaft. The first link includes a first end and a second end coupled to the chaffer. The second link includes a first end and a second end coupled to the sieve. The drive shaft rotates about a shaft axis and includes a first cam and a second cam. The first cam is coupled to the first end of the first link, and the second cam is coupled to the first end of the second link. Rotation of the drive shaft drives the first link to reciprocate the chaffer and drives the second link to reciprocate the sieve. The second cam is angularly offset relative to the first cam by a phase angle less than 180 degrees about the shaft axis.