Near the beginning of the film, Marty is woken up by a phone call from Doc Brown, who wants to meet him at the mall to film an experiment (which is of course the time machine).
Of course, the mall is also the location where Marty time travels back to 1955 from, after Doc Brown is killed by Libyan terrorists. In 1955, the location where Twin Pines Mall would be is a ranch owned by a man named Mr. Peabody, who happens to mistake Marty and the DeLorean time machine for a Martian and a UFO.
As Marty flees Mr. Peabody’s ranch — so that he wouldn’t be killed — he happens to run over one of two pines that sit near the Peabody’s house.
But, Marty doesn’t go back to the same mall, in fact he had a big clue in front of him that he had already altered the future. The mall is now called Lone Pine Mall.