Edwards Jeffery was started by John Edwards in 1991.
The acquisition will allow Reverb to offer additional services to their existing aftermarket client base.
Speaking on the acquisition, Reverb director Nick Farren said: "We are excited to acquire such a well respected business. Our management team have over 30 years aftermarket sales, marketing and general management experience which gives us a unique understanding of both our clients and candidates needs and expectations. Edwards Jeffery will benefit from the additional resource and expertise of a larger aftermarket consultancy group. This will allow for continued growth making Edwards Jeffery the premier provider for automotive staff."
Farren said the company will continue to operate under the Edwards Jeffery name.