"I felt like people watching this game don't believe the work we did on the training ground during the week".
The result lifts United, who were without Romelu Lukaku through injury for their trip to the south coast, level on points with Bournemouth in sixth place in the Premier League table, but the hosts will rue missed opportunities.
Rashford made amends with a dramatic 92nd-minute victor, however, collecting a Pogba cross and keeping cool to snatch the points with his first Premier League goal since September.
In spite of his talent, Phil Jones' best record in the Premier League has been of only 29 league matches.
"The reason (for his omission) is he is playing lots of matches and lately, not just not scoring goals, but also not showing lots of confidence", said Mourinho. "We were really poor, defensively terrible".More news: Tragic: Andrew Gillum Loses To An Open Racist And Twitter Is Mourning
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"I love the song "attack, attack, attack", but when you lose the ball you have to have stability, and we did not have it against a good team. And that is a fantastic quality for the team".
By the time Callum Wilson put Bournemouth ahead on 11 minutes, the home side had already created three strong openings and it was only a mild exaggeration when Jose Mourinho said United should have trailed 6-2 at the break.
"The discussion at half-time was of course that we weren't winning but deserved to be winning by more than one".
Bournemouth started the second half on top and De Gea reacted quickly to save an instinctive flicked finish from the again impressive David Brooks, then Martial's clever play sent Luke Shaw through but the left-back was denied by Begovic. "The first half, I think we learned from that and we showed that in the second half and on Wednesday you will see a difference". It's one of best since we have been promoted and can't fault anyone with effort.
"He's a player of balance, he's not an incredible creator, not an incredible scorer, he has a little bit of everything but I think he's a player of balance, knowledge, his tactical knowledge is big, he understands what I want, what the team needs. I can't fault anyone in terms of effort".