Recently saw this meme on social media:
Now, there are a lot of issues here, but what caught my eye was "..Peer reviewed DOCUMENTATION, Empirical results of repeatable EXPERIMENTATION.."
So this bring into question if one could test the Supernatural. Specifically, if you posit that God is the supernatural explanation of the universe, could you test God? This is what is known as a catagory error. In other words, since God would be supernatural, any tests that are by their nature designed to test nature would be null and void. You would have to use other tools to determine if God is a reasonable explanation for the universe given the evidence. Now you could use science to determine a particular supernatural claim such as if someone claims to have been miraculously healed of cancer, you can use science to determine from medical records if they indeed had cancer and you can use science to examine them now to see if the cancer remains or if a natural explanation is more reasonable like chemotherapy.
Proper tools for determining the supernatural in principle would be philosophy and logic as examples. Philosophical arguments for God being the cause of the universe would be the Kalam Cosmological Argument, the Ontological Argument, Leibniz Cosmological Argument, and so on. These arguments rely on the truthfulness of their premesis. If the premesis are true, then the conclusions logically follow.
Many naturalists assume that God is not a reasonable explanation for the universe (and many other things) because it cannot be "proven" by science. But the mistake is using the wrong tool for the job. As Greg Koukl of Stand To Reason would say, it's like "trying to weigh a chicken with a yard stick".
Because God is an autonomous being, requiring documented scientific experiments showing His existence is really moving the goal posts a bit. It would be better to require scientific evidence of the results of His existence. Even then, ideas like morality, logic, and even reason would not be able to have science reveal the reason for their existence as they themselves are abstract objects like mathematics. You know they are there, but you cannot determine why using science. You can only see their results.
This requirement fails at a fundamental level and sets the bar higher than science can prove about itself.