After an uproar from the Catholic Church, Republicans and some members of his own party, Obama changed the rule Friday to shift the cost for the contraception coverage from faith-based employers to health insurers.
Blunt panned the change as mere sleight of hand and said the debate is far from over.
"Saying the insurance company pays is like saying the utility company pays the extra cost of your utility bill. We all know who pays the utility bill — you do."
Blunt, along with Sens. Marco Rubio (R-Fla.) and Kelly Ayotte (R-N.H.), is pushing legislation that would overturn the birth-control rule.
He introduced broader legislation in August meant to block certain religious organizations from being required to provide any services that conflicted with those institutions' religious beliefs.