The Reds finished seventh in the Premier League this season - one place higher than in 2011/12 - but Werner believes they are well placed to improve on that next term.
Rodgers began strengthening for the future by adding Daniel Sturridge and Philippe Coutinho to his squad in January, and Werner is optimistic Liverpool will continue to advance.
"I think Brendan has made remarkable progress," Werner said. "He's a great strategist and has shown strong leadership as he has led the team through this season.
"Obviously there is disappointment that we didn't finish higher in the table but the team has certainly improved as the season has gone on.
"To see the new additions in January, Daniel Sturridge and Philippe Coutinho, perform so well has been very positive to see.
"We scored a lot more goals than last season. The 38 away league goals was the club's highest number in a league season since 1990.
"The club is definitely moving in the right direction under Brendan. Our intention is to strengthen the squad further this summer and as owners we're very optimistic and excited about the future."