Whoever makes a claim carries the burden of proof. If I assert that a teapot orbits the sun between Earth and Mars, it is not your job to disprove it — the absence of your disproof doesn't make it likely. Demanding that others disprove an unsupported claim is a rhetorical trick that reverses the normal direction of evidence, and it's the engine behind most conspiracy reasoning.
The related error is the argument from ignorance: treating 'this hasn't been disproven' as evidence it's true, or 'we don't have an explanation' as evidence for a specific explanation. Not knowing what caused a light in the sky is not evidence for aliens; it's evidence you don't know. And the burden scales with the claim — ordinary claims need ordinary evidence, but a claim that would overturn well-established knowledge needs proportionally stronger support, since the existing knowledge is itself evidence against it.