I need university administrators (and probably some other people too, but definitely university administrators) to understand something: you cannot motivate your faculty to do more research or better teaching.
They are already maximally motivated people. They did not get the job by being unmotivated. A good chunk of them have more motivation than is healthy for them.
Any action you take to "motivate" them is going to be demotivational. Any of them. Yes, even that one that you just thought of. Yes, even the one you heard about from one of your peers at a different institution that you're jealous of.
Lean in close, here's the secret: all you have to do is (a) support them in doing their jobs, and (b) not fuck things up.