A lot depends on what exactly one means by evidence. My own view of evidence, in the context of the discussion of God, is something that is more likely to be there if God exists than if God does not exist. Evidence against God would be something that is more likely to exist if there is no God than if there is a God. With that understanding, I think the fine-tuning of the universe is a clear case of something that is more likely to exist if there is a God than if there is no God, so it's evidence for God. The degree and kind of pain and suffering that exists in the world does seem to be something that is more likely without God than with God, so that's evidence against God.
Whether the positive evidence outweighs the negative evidence, to me, is the interesting issue. The no-evidence claim looks like a non-starter.