In this work, we investigate light-induced magnon spin photocurrent (MSPC) and magnon energy photocurrent (MEPC) via the Aharonov-Casher (AC) effect. We treat the influence of the electric field through the AC effect as a perturbative term. Subsequently, we derived explicit expressions for MSPC and MEPC in a two-dimensional, collinear ferromagnetic system. Our theoretical framework is applied to both Hexagonal and Kagome two-dimensional ferromagnetic lattices. We demonstrate that MSPC and MEPC can be modulated by tuning the optical frequency and the material's relaxation time. Furthermore, in the low-frequency and infinite-relaxation-time limit, longitudinal MS(E)PC correlates with the topological properties of the magnon system.