The House has acted on two bills which collectively would avert the entire fiscal cliff if enacted. Those bills await action by the Senate. If the Senate will not approve and send them to the president to be signed into law in their current form, they must be amended and returned to the House. Once this has occurred, the House will then consider whether to accept the bills as amended, or to send them back to the Senate with additional amendments. The House will take this action on whatever the Senate can pass, but the Senate first must act.
There's a lot there, and a lot of different ways to read it. But make no mistake that Boehner and other like-minded Republicans in the House were looking for Mitch McConnell to get them out of this mess. McConnell threw them a lifeline early this morning, just as they'd asked. This afternoon, the House GOP refused it.