The former Manchester United captain and Everton loanee produced three of the four goals against Sporting Kansas City at The Home Depot Center on Saturday and both players were in a buoyant mood after the match.
"The guys who went on the road trip, it was tough for them to come into this match, playing a tough game on Wednesday, traveling Thursday, not training until Friday and not doing much really so it was difficult for the guys who had been traveling. But there were some great performances tonight," said Beckham.
Donovan, who scored twice, added: "In the second half, we came out with a real good mentality.
"Obviously, scoring 30 seconds in helps but we wanted to really dictate the tempo of the game, the pace of the game in the second half and just take them out of their comfort zone and put them under pressure. We put them under a lot of pressure and the goals came."
As for Beckham's 87th minute goal - a customary bending free-kick from range - the English veteran said he simply did what he normally does in a set piece situation.
"I always think that when I take free kicks, that if I put in the right area with enough pace it's always going to be difficult to stop," he added further.
"As soon as I hit it, I knew it was in, whether he (Sporting keeper Eric Kronberg) was preparing for the cross or not. I've had a few this season and been close but not scored, but it was good tonight."