I did some research but could not find anything.
This is the shirt from the 92/93 season and the foto is from the International Cup that we lost against Sao Paulo FC. Maybe the logo has something to do with said cup.
It wasn't a club sponsor, the Barcelona olympic games were already over and Toyota was the sponsor of the Intercontinental cup. I would guess some kind of charity maybe? There is the Barcelona Olympic Foundation that is a sort of charity, it was created a few months after this game but it has a different logo.
Here are all the club kits from all the eras. Most funny was the one that caused a pitch invasion in a friendly against Man City 1957 because of the wrong colors of the kit.