  We introduce the cyclic major index of a cycle permutation and give a
bivariate analogue of enumerative formula for the cyclic shuffles with a given
cyclic descent numbers due to Adin, Gessel, Reiner and Roichman, which can be
viewed as a cyclic analogue of Stanley's Shuffle Theorem. This gives an answer
to a question of Adin, Gessel, Reiner and Roichman, which has been posed by
Domagalski, Liang, Minnich, Sagan, Schmidt and Sietsema again.
