There is the evidence which Sherlock has presented countless times, and it goes something like this "The universe exists, so it must have been created, and since it is illogical that a natural system can originate from a natural cause means that original cause must be supernatural, and such an entity would be a god, who is immune to scrutiny which we assign to natural entities, meaning it does not require a creator itself." I hope I'm not strawmanning him.
This is rationalistic evidence, and as such, it relies on reason - and not the interpretation of empirical data - to arrive at a conclusion. I think the place where Sherlock and I differ greatly is when sentience is also implied and that said god is the god described in Hebrew scripture. There are some leaps there which I don't find obvious, but I personally think it is reasonable to suggest that the natural was ultimately started by something supernatural, and that something supernatural, by definition, cannot be perceived through natural means. To be clear I do not construe this supernatural entity as being a god in the sense we tend to use the word.