The Reds plundered 101 goals last season, with over half of them coming from Luis Suarez and Daniel Sturridge, who scored a collective total of 52.
The Uruguayan striker topped the Premier League's scoring charts with 31 strikes to his teammate's 21, and the England international finished second in the division's goal-tally table.
The departure of Suarez to Barcelona has intensified the need for the Reds to add to their striking ranks this summer, and so far, they have only signed Rickie Lambert - who joined while the 31-goal forward was still a Liverpool player.
Manager Brendan Rodgers was keen to sign Queens Park Ranger striker Loic Remy for around £8.5 million last month, but the plug was pulled on the deal at the 11th hour amid fears over the France international's medical results.
The future of Fabio Borini also remains unclear, with Sunderland keen on the Italian, and the two clubs reportedly agreed a £14m for forward earlier this summer.
However, the arrivals of Lazar Markovic and Adam Lallana will relieve some pressure on the likes of Philippe Coutinho and Raheem Sterling, but Rodgers wants to see all the players share the responsibility of scoring.
"More goals from everyone, that's the objective," Rodgers told the club's official website. "Everyone will want to improve.
"Raheem had 10 goals last year. It was a great pass by Jordan [against Southampton], he picked him out really well with a wonderful ball and he gets himself in the box with a wonderful finish.
"It was a really good finish and that started to open up the game up a bit, with a bit more space to work in. But they were dangerous opponents."
Liverpool began their new Premier League campaign with a 2-1 win against Southampton on Sunday.
Sterling opened the scoring in the first half before Nathaniel Clyne even things up for the Saints, but Sturridge struck a late winner to give Rodgers's charges the points at Anfield.
The five-time European Cup winners face an early test of their title aspirations when they travel to Manchester City on Monday evening.