Chemoluminescent processes based on the reaction of diaryloxalates with hydrogen peroxide in the presence of a fluorescent dye are not reversible.
While the dye remains unchanged, both the oxalates and the hydrogen peroxide are consumed. "Recharging" a device (glow stick) isn't possible. When performing the reaction in a flask, only could probably prolong the light emission by subsequently adding portions of the starting materials over time.
Photoluminescent glow-in-the-dark devices based on the emission of long-lived excited triplet states can indeed be "recharged" by holding the device in the light again. But this has nothing to do with the reactions happening in glow sticks.