  Leavitt path algebras of bi-separated graphs have been recently introduced by
R. Mohan and B. Suhas. These algebras provide a common framework for studying
various generalisations of Leavitt path algebras. In this paper we obtain
modules for the Leavitt path algebra $L(\dot E)$ of a finitely bi-separated
graph $\dot{E}=(E,C,D)$ by introducing the notion of a representation graph for
$\dot{E}$. Among these modules we find a class of simple modules. If the
bi-separation on $E$ is the Cuntz-Krieger bi-separation (and hence $L(\dot{E})$
is isomorphic to the usual Leavitt path algebra $L(E)$), one recovers the
celebrated Chen simple modules.
