During one of the chase scenes, Daley and Earhart take cover in the famous photo of a sailor kissing his girl on V-J Day. He loses his cell-phone and a sailor picks it up, but can't figure out what it is. Later, during the closing credits, we see the sailor disassembling the cell-phone, and studying its innards. His mom calls him to dinner, and when he doesn't come right away, she gets angry and uses his full name: Joey Motorola.
The implication here is that the Motorola company was founded by Joey with technical know-how he got by studying a 21st-century cell-phone. Granted, this movie was supposed to be a fantasy, but there are still two problems with this:
First, Daley didn't really go back to 1945. He was just wandering through a pocket universe created by the tablet behind the photo. That's how he was able to get "five bars in 1945" (and also why there is no historic records of Egyptian guards causing trouble in New York on V-J Day).
Secondly, and most importantly, Motorola was never anyone's family name. The name was coined by Bill Lear (of Lear jet fame) to be a brand name for one of the first car tape players. It is a combination of the words "motor" and "Victrola"