Produce quality products? Those "products" are human beings - immature human beings - and with all the variability of a sizeable group of human beings. One way to "re-engage teachers" is to address the teacher needs - supplies, learning resources, a laptop, professional development, etc.
Artificial "motivation" will never work as well as meeting real needs! .
I believe that Pink's research is meant not to state that the reward/punishment dichotomy is a failure, but it seems that he is trying to find another way around around this behavior modification to entice children to learn (and teachers to teach) in a way that will attract enough attention so that it does not have to have the feeling of forcing people to learn in the classroom. There may be a more "natural" way to get around this without people feeling threatened to have certain expectations met at a certain time.