The pundit claims every fan of the Red Devils would have been disappointed by the Special One leaving Marcus Rashford and Juan Mata on the bench at Anfield.
United earned a point against their rivals but showed little ambition throughout the 90 minutes in the Premier League.
And Crooks claims such caution in Mourinho’s tactics should have rightly angered supporters.
He told BBC Sport: “When I saw Marcus Rashford and Juan Mata on United's bench, my initial thought was Jose Mourinho had better get a result.
“If you were a United fan having travelled to Anfield only to hear the manager had left Rashford and Mata - two of your most creative artists - on the bench, your heart must have sank.
“And if that wasn't infuriating enough, watching Manchester United play with such caution against one of your biggest rivals must have nearly killed you.
“However, what is exciting me is watching Phil Jones getting better with every game.
“The England defender made a couple of first-class decisions in the first half, on the edge of United's penalty area, when he refused to take the bait and make an inappropriate challenge.
“Instead, he stood up and gave the striker the problem by refusing to commit himself.”
United are second in the Premier League table after the 0-0 draw, two points behind Manchester City.
Next up for Mourinho’s side is an away trip in the Champions League to Benfica on Wednesday.
After that United travel to Huddersfield in the top flight.
