Sheppard said he'd been disappointed with the company's performance since he first bought shares six years ago and the turnaround in revenue decline was mainly due to last year's acquisition of a Chinese manufacturing plant rather than organic growth.
"This business is not growing as it should," he said.
He called for the resignation of chairman Phil Lough if next year's targets are not achieved.
Board member Norah Barlow, one of three directors re-elected at the annual meeting, said the board wanted to stretch management but still make the targets obtainable.
Chief executive David Banfield, who's been in the role for 18 months, said $130 million was "not an easy target" but long-term sustainable profits were achievable providing there was reinvestment back into the business.
In response to a shareholder question around dividend forecasts, Lough said he couldn't provide a figure although he expected it to be in line with previous years and that Methven would continue to be a "yield stock, rather than a growth one".
The three-year strategy was based around getting out and telling people the story about the company's world-leading technology, said Banfield.
"When we launched the Satinjet technology in 2004 we always said it was world leading spray technology, and it is. Yet it's not talked about in the world. We've now invested in the Aio range and designed a footprint that will enable us to start that conversation."
The company invested $3.9 million in future-focused projects during the last year, including the Aio launch, which included launching the patented shower spray Aurajet and industry-first tapware, which is free of both lead and heavy metals, into global markets.
Both products have been nominated for design awards in Australia and Germany after only three months on the market.
Methven's shares are currently trading at $1.13, up 5 per cent in the past year.
The company has changed its reporting date from March 31 to June 30 and is shifting into a new leased factory and head office in Auckland next year when it celebrates 130 years in business.
Results for the first three months of the new financial year saw sales up 6.7 per cent and net profit up 36.7 per cent, Banfield said.