Roberto Firmino, Naby Keita and Rhian Brewster were on target as Jurgen Klopp’s men stepped up their preparations for the Community Shield next weekend.
New signing Kostas Tsimikas made his debut for the club as Klopp fielded a different team in the second half.
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Firmino opened the scoring in the 15th minute after good work from Curtis Jones. The Brazilian then turned provider to create the second for Keita five minutes before the interval.
Brewster, who impressed on loan at Swansea last season, added the third from a James Milner pass with 68 minutes gone.
Liverpool wrap up their Austrian training camp with a second friendly against RB Salzburg on Tuesday.