This does not stop the growth of government at all! Stopping the growth of government would require a spending freeze (i.e., not spending one dollar more next year than was spent this year). The cuts anticipated by this deal do not even come close to doing that. Only in the Beltway world of "baseline" budgeting, where growth of government is assumed and sacrosanct, would this even be considered a cut at all.
You’ve heard the expression, “starving the beast”?
With no new sources of revenue this is what has happened. For the libs to attempt to increase spending again with this issue front and center in the public eye would sound the death knell for them, even with the media carrying their water.