The 2018/19 Champions League victors have now won their first three group games in the competition this season while extending their winning run in all competitions to five matches.
Daily Star Sport have now put together the winners and losers from the win, as well as player ratings.
The 23-year-old Portugal international has hit the ground running since his summer move by scoring six goals across four matches in just ten days.
Jota chipped the keeper for his first and reacted quickest inside the box to grab another.
The former Wolves forward completed his hat-trick in the second period to put gloss on the scoreline.
Although it would have been easy to take a step back in awe of Jota, Salah raced clear to grab the third goal of the game and in the process add to his best goalscoring start to any season.
The former Roma man now has scored nine goals in 12 games in all competitions, and is in no danger of being dropped as Klopp decides over the future of Firmino.
The 28-year-old will be keen to match his tally of 44 from 2017/18 this season, and a further mention should go to Mane as he grabbed a fourth goal to keep up his fine record of scoring.
Williams proved to be a steady presence as Liverpool faired well with the usually prolific attack of Atalanta.
The 19-year-old has done well in the absence of Virgil van Dijk, which will please Klopp.
Although he didn’t start, the form of Jota will be worrying for Firmino.
Jota has performed wonderfully in the front three with Salah and Mane, and his goalscoring form is likely to make him undroppable for the clash against Manchester City.
Firmino has only scored once in 12 outings this season, which pales in comparison to Jota’s seven in 10.
Although the German will be delighted at his strength in depth, the emergence of Jota could prove to be the end of an era for Klopp at Anfield.
The trio of Mane, Salah and Firmino have proved pivotal in the recent Champions League and Premier League triumphs, but their new addition could prove that nothing lasts forever in football.
Although the Brazilian is not yet out of favour at Anfield, his younger colleague is set to cause a dilemma.
Atalanta (3-4-3): Sportiello 6; Toloi 5, Palomino 4, Djimsiti 4; Hateboer 5, Pasalic 5 (Malinovskyi 63, 5), Freuler 5, Mojica 5; Gomez 7, Zapata 4, Muriel 6 (Pessina 6).
Liverpool (4-3-3): Alisson 6; Alexander-Arnold 8, R Williams 7, Gomez 8, Robertson 7 (Milner 65, 6); Jones 8, Henderson 7 (Keita 65, 6), Wijnaldum 7; Salah 8, Jota 9 (Firmino 65, 6), Mane 8.