Most likely, a manager will have a higher annual base salary versus lower RSU/stock grant. Again, this is not true all the time but RSU's are used in order to retain talents. Managers are very replaceable compared to experienced engineers. If you're easily replaceable but you have a lot more pressure, your annual salary will most likely be high and your RSU's will be good, not amazing.
When it comes to annual bonuses, managers win by far... I'd say it's a 80% to 20% ratio.
On a side note, this is a bad thing for industry because it makes lot of great ICs forced in to management.
Given that a legal/ethical issue can potentially cost a company a lot of money, a good manager should be paid more in addition to other actual area of expertise responsibilities they have.
If they are more of a supervisor or team lead, literally managing workloads of people without the budget or hiring/firing HR responsibilities then maybe one could argue they may not necessarily make more than other Software Engineers.