Let $X=\{X_p\}_{p\in P}$ be a product system over a lattice ordered group $(G, P)$ with coefficients in a C$^{\ast}$-algebra $A$. In this paper, we study the reduced crossed product of the gauge coaction $\delta$ of $G$ on the  Cuntz-Pimsner algebra  $NO^r_X$. When $X$ is a product system of Morita equivalence bimodules, we show that the reduced crossed product of the gauge coaction is Morita equivalent to the C$*$-algebra $A$.  This talk is based on joint work with Feifei Miao and Wei Yuan.