The correct effort is simply whatever a person can do to make incremental improvements to their lives. It’s going to be different for everybody. Psychologically, part of the reason that poverty traps are so easy to fall into is because people in poverty don’t have the luxury of indulging in much long term decision making. However some opportunity always exists, and finding an exploiting those opportunities is the only way out.
The reason there is any focus on the individual is because you can’t simply subsidize out of poverty. If you want people to get out of poverty and to stay out of poverty, then those people need to take responsibility for their own destiny. Arguably society could do a better job of giving people the tools to do that, but that doesn’t change the dynamics of the problem. The truth is that if I was in that persons shoes, I’d be living a better life than they are. Because I was, and I managed to, and those skills eventually got me completely out of poverty all together.