The Blues moved just three points off top spot with their weekend win over the Trotters at Eastlands.
Carlos Tevez's early goal did the damage, although the Argentinian's petulant reaction to being substituted late in the game was an even bigger discussion point.
Davies is not convinced that gave off the correct signals and he was even less impressed at so many of the City players collapsing in mock agony during a keenly-fought duel.
"When there is not much contact and they go down screaming, it is embarrassing from a man's point of view," Davies told the Manchester Evening News.
"There are a lot of European players in their squad and I think it is something they are taught on the continent. It is frustrating and embarrassing at times. However, it is part of our game unfortunately."