Brothers Brent and Darren Robinson and their father, Warren, occupy three of Rakon's six board seats.
Hawkins said the association would oppose the re-election of executive director Darren at next month's annual shareholders' meeting.
Chief executive Brent was not the right person for the job and Warren, who founded Rakon in 1967, should voluntarily stand down, hesaid.
Hawkins also criticised the more than 20 per cent pay increases Brent and Darren enjoyed in the last financial year - to $907,892 and $734,605, respectively.
On Monday Rakon chairman Bryan Mogridge said the company shared investors' frustration with recent results and remained fully committed to expanding and diversifying the business.
"We regularly engage with our shareholder base on a range of issues, including governance and company structure, and value their perspective," Mogridge said.
The company has made only one annual profit - $3.2 million in 2015 - amid total losses of $118.7m over the past five years, according to the Shareholders Association.
Rakon shares closed yesterday down 0.5c at 22c.