The Championship outfit completely dominated the first half but only went into the break 1-0 ahead.
However, Eddie Howe's team rattled in another three goals in the second half.
Yates told the club's official website: "This shows we have still plenty to do. You never want to get beaten convincingly but we were. We started okay but it was too easy for them to score. We are better than that.
"We probably won't come up against that quality this season but what if we do? If we had drawn Burnley in the cup then I wouldn't expect a performance like that or for us to roll over for them.
"I've just said to them all that my team is not selected yet and they have a week to stake a claim. They have worked really hard this week on the training ground but I expect us to be better than that. There are lots to work on and improve on."
