Science doesn't claim to have all the answers. And it cannot do so unless the foundations of science are changed. For example, you would not expect answers from science as to what is "art", or what is "beautiful". Science might learn to detect when a human thought those things, but I think it would be impossible for science to design a computer program to determine such.
Likewise, science can only operate in a world that is predictable and measurable. Any supernatural entity, by definition, it outside that range because such a being is not limited to the predictable and measurable.
God is the supernatural, while science, by definition operates in the natural world.
Thus science cannot claim to detect God, even in the "design" of the universe. And it cannot falsify Him either.
Richard Dawkins does.
Just for the fun of it Google: art beautiful "golden ratio".
Our perception of beauty may reflect preception of some mathematical relationships.