Eddie Howe was left to rue “individual errors” made by Bournemouth in their heavy 5-1 defeat to Manchester City on Saturday.
Bournemouth did have some good moments and might have had a penalty when Dan Gosling was felled by Nicolas Otamendi early on.
They did also get back into the game after early strikes from Sterling and Bony as Glenn Murray made it 2-1 with a long-range effort, but the Cherries were ultimately outplayed.
Manager Eddie Howe said: “We always knew it was going to be very difficult. It was our first experience of the top four and we didn’t deal with it very well.
“We made quite a few individual errors. If you come to a place like this the last thing you need to do is give them goals, especially early in the game. It made it very difficult for us.”
Howe’s plans were disrupted as goalkeeper Artur Boruc was injured in the warm-up and had to be replaced by Adam Federici.
Howe said: “It is not ideal to make a change before the game but it happens. You have to deal with these things.”