As TMZ first reported, Tameka filed docs earlier this month demanding a second bite of the apple after Usher was awarded primary custody of the couple's two kids. Tameka claimed the judge is biased because she accepted campaign donations from Usher's lawyer.

But this week, the same judge rejected Tameka's motion -- claiming it's been public knowledge since 2008 that Usher's lawyer donated to her re-election campaign ... and if Tameka cared to look, she would have found out long before her custody trial.

As far as the judge is concerned ... Tameka's just a sore loser.