In noncommutative algebraic geometry, the analogue of projective space $\mathbb{P}^{n-1}$ is the quotient category $qgr-A := gr-A/tors-A$, where $A$ is a Noetherian $\mathb{ N}$-graded Artin-Schelter regular global dimension $n$, and $gr-A$ is the category of finitely generated graded right $A$-modules, $tors-A$ is the full subcategory of finite dimensional modules. In order to understand a noncommutative version of the classical Segre embedding of $\mathbb{P}^{n-1}\times \mathbb{P}^{m-1}\to \mathbb{P}^{nm-1}$, we introduced the notion of twisted Segre products of Noetherian $\mathbb{N}$-graded algebras.It is proved that the twisted Segre product of two Koszul Noetherian Artin-Schelter regular algebras is a graded isolated singularity. In the simplest case, the Cohen-Macaulay representations of twisted Segre products of $k[x,y]$ with itself are computed.