Does the appearance of a "burqa" on a newborn's face indicate their good sustenance and righteousness, and did it appear on the face of the Messenger of Allah (peace be upon him)?

The questioner's intent regarding a "burqa" on a newborn's face is not understood. If what is meant is that a baby is born with a membrane over its face, then this has no relation to a person's provision or future righteousness. Provision is predetermined and inscribed for every human being while still in their mother's womb. It is not known that this occurred to the Messenger of Allah, may Allah's prayers and peace be upon him.