Seydou Doumbia gave CSKA the lead in the 15th minute in Moscow after David de Gea had saved Roman Eremenko’s penalty, given away by Anthony Martial.
But the French teenager made amends 20 minutes into the second half when he headed home Antonio Valencia’s cross.
The result left United second in Group B on four points, two points behind leaders Wolfsburg after three games.
And former Red Devils midfielder Scholes feels that United will be satisfied with the point, despite not producing a particularly impressive performance.
Asked if he was impressed by United’s recent displays, Scholes said on BT Sport: “They’re not at the minute, no. You take a point from away games, however well they play.
“[But] when you watch Manchester United you expect them to be better. You expect them to be more creative… you expect players to run with a bit of penetration.
“They got a bit better in the second half. They started getting players in the box and all of a sudden that’s where the goal came from.
“I think all in all it’s not a bad away performance. It’s a point, and it will probably see them through.”
United now turn their attentions back to Premier League affairs and their Manchester derby clash with local rivals City at Old Trafford on Sunday afternoon.
Louis van Gaal’s men are third in the table and two points behind their neighbours.
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