This book is simply called "Sonic the Hedgehog". (Makes it kind of hard to look up / find) and is yet ANOTHER faked-up "origin story" for Sonic, from back when nobody knew much and just made up anything. The book is made by Watermill Press, and written by Judy Nayer with illustrations by Ron Zalme. It is likely to be from the early 1990s, soon after Archie Comics began publishing (as you can see Sally here) As you can see, the book is somewhat 'shaped' with it being diecut to add a bit of interest. It has a format of 1 written page per picture page, and uses lots of re-purposed stock art. (See the cover & interior 'running Sonic' image)
So what's THIS origin all about?

Sonic is a fast hedgehog with normal shoes (miscolored on purpose shoes, that is) Who works at his Uncle Chuck's Chili Dog stand doing deliveries, until someone orders a huge delivery. It's Robotnick (of course) who wanted to distract Sonic in his factory (of mallets, apparently) so he could use the "Ro Bo Machine" on Uncle Chuck & Muttski & then outlaw fun. On the way, Sonic meets Sally the Chipmunk for the first time, and they use a power ring to un-ro-bo everyone at the end. As you can see, there's wrong details & things they were just guessing at from the comics because it's such an early book. All of the pages of the book are in the SonicGear archive.