Answer:
False
Step-by-step explanation:
Technically, the fact of learning you'll be audited will not cost you a dime, ever, it's just a piece of information.
However, the audit itself can lead to onerous consequences, yes. Depending on how well your tax returns were done in the previous years and if you hid stuff from them.
But the question is about learning you'll be audited... that will never cost you anything.