Unfortunately, it's very common to give someone more responsibility without giving them more control, and that can make the person's life much worse than it was before. For example, if you make me a project leader and give me responsibility for the output of an entire team but you don't give me hire/fire authority or a budget to buy the equipment I need, then the only way I can ensure that we make our deadlines is to work ridiculous hours to tie up everyone else's loose ends.
True that, competent management requires attention to the balance of these components in a way that makes people both productive, and happy to be doing their jobs.
You give people more responsibility. You give them more control over their workplace, somehow. And, most important of all - you listen.