The GOP has not proposed anything but cosmetic cuts to the baseline. Even the article you cite -- which is from 3 years ago -- only proposed a 60 billion savings over a term of months. It did NOT make any cuts, it merely maintained a few programs at the then current rate of spending. You simply do not know what you are talking about. And 60 billion in a nearly 2 trillion budget is a joke and an insult to Americans.
BTW, the GOP holds the House. They do not need the Senate to pass spending cuts. All they have to do is stop spending.