While most of the 33,533 people donned shades during the game with the Detroit Tigers at Rangers Ballpark, the mark to beat was 423 so Guinness officials only bothered to count two sections of the crowd, MLB.com reported.
That group included Bush, who often goes to Rangers games, and club President Nolan Ryan, who were both seen on the big screen when the public announcer told the crowd the record attempt was set to begin after the sixth inning.
"I'm pleased to say that 424 people participated in this attempt," said Danny Girton Jr., senior corporate communications manager for Guinness.
The shades were provided to the fans by Reliant Energy as they entered the stadium.
"There were a further unconfirmed 30,000 who helped Reliant Energy in this attempt," Girton Jr. added.