Chirality-modulated anomalous transport properties in monolayer <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msub> <mml:mi>FeZrCl</mml:mi> <mml:mn>6</mml:mn> </mml:msub> </mml:math>

Two-dimensional (2D) magnetic materials have attracted significant attention due to their unique properties and potential applications in spintronics. Using first-principles calculations and group theory analysis, we propose a novel two-dimensional chiral magnetic semiconductor ${\mathrm{FeZrCl}}_{6}$. The monolayer (ML) ${\mathrm{FeZrCl}}_{6}$ is dynamically stable and hosts a coplanar noncollinear 120\ifmmode^\circ\else\textdegree\fi{} antiferromagnetic ground state on a triangular lattice, characterized by vector-spin chirality. The group theory analysis reveals that this unique magnetic order activates the anomalous Hall effect (AHE) and magneto-optical Kerr effect (MOKE). During collective in-plane spin rotation, both the AHC and Kerr rotation angle exhibit $2\ensuremath{\pi}/3$ periodicity dependence on the azimuthal angle $\ensuremath{\varphi}$. Furthermore, out-of-plane spin canting generates a finite scalar-spin chirality, producing an emergent real space Berry phase and thereby inducing a chirality-driven topological Hall effect (THE) and topological magneto-optical Kerr effect (TMOKE) without spin-orbit coupling. These findings not only identify a promising material candidate for antiferromagnetic spintronics but also provide profound insights into the antiferromagnetic anomalous transport phenomena.