In our previous work [Phys. Rev. C 101, 014003 (2020)], the photoproduction reaction was investigated within an effective Lagrangian approach. The reaction amplitudes were constructed by including the t-channel K, , and κ exchanges, u-channel Λ, Σ, and exchanges, s-channel N, , and exchanges, and interaction current. The data on the differential cross sections and spin density matrix elements were described simultaneously. In this study, we investigate the photoproduction reaction based on the same reaction mechanism as that of to obtain a unified description of the data for and within the same model. All hadronic coupling constants, form factor cutoffs, and the resonance masses and widths in the present calculations remain the same as in our previous work for . The available differential cross-section data for are well reproduced. Further analysis shows that the cross sections of are dominated by the contributions of the t-channel K exchange, while the s-channel and exchanges also provide considerable contributions.