After Marvin Bartley had been dismissed in the 32nd minute for a rash challenge on Luke Chambers, substitute David McGoldrick struck a second-half brace as Forest moved to within a point of the play-off places.
Burnley boss Eddie Howe described Bartely`s red card as "extremely harsh".
Davies said: "Maybe it is the time for other teams to get the bad breaks, because we have had a few lately.
"The late goal against Preston, out-playing Doncaster and not winning, out-playing Hull and losing 1-0, what happened at Leeds and the last-minute own goal against Reading - we've had our share."
Source: PA
Source: PA