Postdoctoral application asks about 'ability to assess resource requirements'
This sounds like a fairly standard postdoc requirement - to be able to assess what you (or your group) needs to succeed (resources) and then use them effectively.

Basically, if your supervisor comes to you and asks "What do we need to get this done?", they want you to neither badly undershoot, nor overspend, and when you get those resources, to use them appropriately.

I'd discuss any experience you had with managing project requirements, seeing something through to completion that had a budget, or just being able to cogently talk about being able to assess your position's needs.