Surface lattice resonance supported on nanoparticle arrays is a promising candidate in enhancing fluorescent effects in both absorption and emission. The optical enhancement provided by surface lattice resonance is primarily through the light confinement beyond the diffraction limit, where the nanoparticle arrays can enhance light-matter interaction for increased absorption as well as providing more local density of states for enhanced spontaneous emission. In this work, we introduce a modified coupled-mode theory that describes the nanoparticle array embedded in a fluorescent layer and analyzed the absorption behavior over a variety of configurations. With the analytical model, we discovered the condition to efficiently couple light into the fluorescent dye, demonstrated in both experiment and numerical simulations.