The Galaxy were extremely poor at Rio Tinto Stadium, conceding three goals before half-time, but managed to bounce back with a 1-0 victory over the previously undefeated Philadelphia Union at home on Saturday.
Beckham said that loss to RSL really kicked the Galaxy players into gear.
"As embarrassing of a performance as it was, a lot of good came out of it," Beckham said.
"We all came in the next day and knew every one of us was embarrassed about the performance and the result, so that was what was important."
Beckham was the provider of the game's only goal with his free-kick which was headed home by Brazilian defender Leonardo. Galaxy skipper Landon Donovan said that it was something the team needed from a player like Leonardo and was happy for the Sao Paulo loanee.
"We've been talking to Leo that he should get on the end of one of these," Donovan said. "He got in a great spot and did a great job to get his head on it. It was a great finish."