"I am confident that inside Amplifon Bay Audio will expand the legacy we have built and continue to accelerate its growth trajectory."
Hutson added: "We are proud to have developed a truly innovative world leading business with the help of some great people and to have done it twice."
The relationship between the Hutsons and Abano soured when the Hutsons teamed up with Archer Capital for a hostile takeover bid, which failed.
In 2016 Abano said it had received an unsolicited offer from an unnamed "international hearing device manufacturer" for more than the roughly $11m it was valued on its books.
Eventually the Hutsons exercised their preemptive right to buy Abano's shareholding. This saw the Hutsons pay $32m for the 50 per cent of Bay audio shares they did not already own.
Bay Audio was also part-owned by New Zealand investor James Reeves.
Abano was eventually taken over by Australia-based private equity firm, BGH Capital and the Ontario Teachers' Pension Plan Board for $5.70 per share, valuing Abano at $149.8 million, through a scheme of arrangement.
The price was well below the $9.84 a share partial offer from Hutson and Reeves that was rejected in 2017.
Amplifon said it would finance the acquisition with available cash.
"This major acquisition represents another key milestone in the history of our company and perfectly fits our growth model and M&A strategy," Amplifon chief executive Enrico Vita said in a statement.
"Moreover, this deal will enable us to build another company stronghold, further strengthening our position in the Australian retail market, the tenth largest in the world."