  Let $X$ be a smooth projective Calabi-Yau variety and $L$ a Koszul line
bundle on $X$. We show that for Betti numbers of a maximal Cohen-Macaulay
module over the homogeneous coordinate ring $A$ of $X$ there are formulas
similar to the formulas for cohomology number. This similarity is realized via
the box-product resolution of the diagonal $\Delta_X \subset X \times X$.
