Savage used his column in the Daily Mirror to voice his concern over United's season so far, and questions whether there has been much improvement at Old Trafford.
Van Gaal's side currently sit in fourth place in the Premier League, and after their defeat to Southampton at the weekend raised a few eyebrows because they failed to register a shot on target, combined with a statistic that van Gaal has accumulated the same points after 21 games as his predecessor David Moyes has led to the pundit to question whether things have really improved - after a summer where United were the biggest spenders in the transfer window.
Savage wrote: "If Van Gaal's philosophy is such an improvement on what was served up last season, how come Moyes' team had scored one goal more, and had more shots, at this same stage last year?
"And surely LVG has to play Wayne Rooney up front with Angel Di Maria in midfield, not the other way round?
"To me, the most significant difference between Moyes and Van Gaal's regimes is that the Dutchman has spent a lot more money."
Savage has also been critical of the system adopted by the United manager when he plays with a back three, saying that United struggle with it, as well as quoting some statistics which seem to support his idea.
There have been some that have said the mentality is different to that of David Moyes. United had a difficult start to the season but went on a decent run which put them back into third place, with some even talking about a possible title challenge from Louis van Gaal's side.
However, from their last six games they have only managed to pick up five points, and the loss to Southampton means the Saints have leapfrogged them into third place.
The tangible improvement from United this season is that they are fourth rather than seventh, all be it on the same points - so they may be benefiting from the league perhaps performing at a lower standard this season.