The problem of evil actually backfires on atheism: evil's existence presupposes objective moral values, which have no grounding on atheism. The problem of evil is itself evidence for God.

The argument from evil assumes objective moral evil exists — that wickedness and badness are real features of the world. But on atheism, there is no grounding for objective moral values and duties. Many atheists deny objective morality exists, yet then appeal to it when raising the problem of evil. The consistent atheist position would be: evil doesn't objectively exist AND there's no solution to it. Once you acknowledge evil is real, you've already conceded something that makes more sense on theism. So the problem of evil, properly understood, is evidence FOR God's existence, not against it.