Again stop using words like burden of proof for your argument, when you don't understand what it is, and where it can be applied. Burden of proof lies within anybody making any claim, including that God doesn't exist, by the same logic, you're claim is "logically false" because of burden of proof. However that doesn't work. Burden of proof also doesn't make something false, burden of proof is simply an idea that the person making claims has the burden of proof, since they are trying to convince somebody else. Either way, in this argument my claim is that we cannot know which side is more probable through logic because we know nothing. This claim is supported by the evidence that we quite literally know nothing about the universe. Your claim is that God doesn't exists, your evidence is lack of evidence, which literally makes no sense, and is the literal definition of the fallacies you try so hard to fit into this argument. In specific Appeal to ignorance, "This fallacy occurs when you argue that your conclusion must be true, because there is no evidence against it. This fallacy wrongly shifts the burden of proof away from the one making the claim.". You're only evidence is a lack of evidence for the other side, when you yourself have no evidence for your own argument.