If one of 2 legs is no-action (and this is NOT a tie), the teaser reduces to a 1-leg teaser. If the book has no payoff for a 1-leg teaser, this whole wager should be no action. If the canceled leg is being treated as a "push", and giving you the chance to lose a teaser that cannot be won, you should complain.
Any 2-team teaser with NYG/Min should be no action, regardless of whether the other leg won or lost.
Any 2-team teaser with NYG/Min should be no action, regardless of whether the other leg won or lost.