If you really want to tackle this issue, you need to look at why men live shorter than women. Do they die violent deaths more often? Trying to make society less violent could benefit everybody. Do they harm their health by working more often in unhealthy situations? Maybe improve those work situations. Are they more likely to commit suicide? Maybe invest in better mental healthcare. Does testosterone make them more likely to engage in risky behaviour that gets them killed? Well, at some point you've got to decide whether the higher risk and resulting shorter life expectancy is a matter of personal choice or not. I suppose education can play a role here.
Data suggests that more gender equality in society also leads to more gender equality in life expectancy[0]. But we should also remember that the goal of equality has to be to lift people up. Of course we could close the gender life expectancy gap by reducing life expectancy for women (maybe reducing maternity health care?) but I hope everybody agrees that would be a terrible idea. We should tackle the issues that cause men to die earlier.