"Resistance" is actually a rather poor concept to apply to a device like a photodiode, because diodes are highly nonlinear, yet the Ohmic concept of resistance involves current varying linearly with applied voltage. Diodes never behave like simple resistors.
Photodiodes are usually operated in reverse-bias, in which no current flows through them in darkness. (Well, there's always some leakage, but it's irrelevant.) A reverse-biased photodiode is thus an "infinite resistance," because essentially no current flows through it.
When you shine light on it, some charge carriers are liberated, and a current begins to flow. If the external applied voltage remains the same, the current increases, and so the "resistance" could be said to be lower.
When you shine more light on it, even more charge carriers are liberated, and a greater current flows. If the external applied voltage remains the same, the current increases, and so the "resistance" could be said to be even lower.
- Warren