The Dockers averaged 91 points per game in 2013 to rank 13th in the league, and only managed eight goals in their Grand Final loss to Hawthorn.
As the club bids to go one step further this year, Lyon wants Fremantle's attack to reach similarly lofty heights to its No.1 ranked defence.
"We've identified we want two goals a week more to put us top four," Lyon told the audience at the Dockers' season launch.
"When we win (in 2013) it's 104 points, which puts us in the top four. Our defence is really strong. We know we need to be top four in both to give ourselves the best chance."
During the Dockers' bye week in round 11 of 2013, Lyon made a similar statement, saying he wanted to expand his team's scoring power and find two more goals per game.
Fremantle averaged 90 points per game across the first 10 rounds and increased that to 92 over its last 15 matches.
The improvements have been incremental but the coach wants more.
"Our scoring in the second half of the year was quite strong," Lyon said.
"We acknowledge we'd like those two goals a week."
The Dockers coach also revealed that his side would be more flexible this season with a number of players likely to play a variety of roles throughout the year.
"You'll see (Nat) Fyfe more forward, (Stephen) Hill and (David) Mundy can go back, (Michael) Walters on ball, (Hayden) Ballantyne on ball," Lyon said.
"Hawthorn introduced a little bit more flexibility last year and I think, two years in, we're more confident to be able to do that.
"We'll push for youth coming through with (Hayden) Crozier, (Tommy) Sheridan and Lachie Neale," Lyon said.
"Cam Sutcliffe really stood up in finals. That pressure from underneath is really coming.
"And (there will be) a couple of changes at stoppages but they'll be harder for the general public to pick up, but for us we'll really see the benefits."