Shifting the burden of proof, is a fallacy so common that pointing it out is exhausting. The accepted decorum in debates and arguments is that the burden of proof is on the person making a claim. So, if I claim that there is a hobbit living in my television, I have to prove that claim, I cannot demand that it be treated as true until proven false.
This is also a very common argument that Atheists run into when debating believers, where they will run into a variant on
“You are making the claim that God does not exist, therefore you have to prove that he does not”
The reason why this is burden of proof shifting is that without a claim to there being a god, the Atheist position would not exist. The cause and effect cannot be:
There is no God! – > There is a God.
Where the negative claim comes before the positive claim. The positive claim always comes first and thus has the burden of proof. This is one of the funnier things to see in popular news programs or debate shows, where the people claiming that “X does not exist” are the ones that have to provide evidence.