I don't quite follow your comment but that isn't about to stop me guessing what you are asking and providing the intuitive model for the paradox.
The bad intuition is if X units of a resource are being used to achieve an outcome then providing the option of getting the same outcome with (X - something) will result in less resource use.
However, that is ignoring the economic principles of supply and demand to only focus on current use and demand. Reframing it from the supply side: it used to make sense to supply X units to do so much. Now supplying X units can do even more than so much.
So the economics of the situation are unlikely to cause a reduction in supply, because if it made sense to supply X units of resource before, it really makes economic sense to supply it now. In fact, since the resource is now more useful (efficiency rose) it probably makes sense to supply even more of it.
If Jevons's Paradox actually appears paradoxical, the root cause is a misunderstanding of supply and demand. If efficiency is modelled by moving the supply/demand curves around on a supply/demand chart it is pretty obvious what is going on; efficiency gains are equivalent to moving the supply curve under that model.