Need ideas for postdoc application re support of sponsoring institution
Here's some ideas about what you could ask for:


A course that is not generally available - such as a leadership program
Support to spend a few weeks at some other institution to build a relationship?
What do you need for your research? For example, funds for transcribing interviews, or a few months of a data analyst?


But it sounds to me like you are being asked not for a wish list, but for some thought about what is both relevant and unique about the university you are applying to. For example, is there a respected researcher in your field and you could spend some time working with that person.