The claim is now framed in a way that cannot be falsified - however many millennia pass. Faith in the impossible. Faith is needed to believe in events that are normally impossible - and therefore inherently unbelievable. These events are of three main types. Examples are the virgin birth, the resurrection of Jesus, Mohammed's night ride to Jerusalem and so on.
Some people believe that miracles still occur in the present.
But the miracles that are critical foundations for religion happened in the remote past. The more improbable the claim, the higher the standard of evidence required to prove it. The proofs for the virgin birth, for the resurrection, and for Mohammed's night ride to Jerusalem, are not of the type that most historians would accept on any other type of matter. But faith does not require proof, and those who demand proof are derided by the faithful as doubting Thomases. Indeed, if historians were to prove the claims of faith beyond all doubt, they would cease to be matters of faith.