Boss Sam Allardyce was absent due a medical appointment but winger Lookman served up a dose a feel-good factor with the travelling fans with a pair of first-half strikes.
Everton have not finished about Liverpool in the league since the 2004/05 season, and that doesn't look like changing any time soon, with Jürgen Klopp's men now sitting comfortably in fourth position in the table, whilst Sam Allardyce's side occupy 10th spot.
First-team coaches Craig Shakespeare and Duncan Ferguson will take charge of the team for the trip.
Everton's XI, which featured two debutants - Harry Charsley and Fraser Hornby - was the youngest an English club had selected for a European group-stage fixture in eight years, and Shakespeare also brought on three teenagers for their bows, including 16-year-old Anthony Gordon.
Everton are bottom of Group E and unable to qualify for the next round.
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The Toffees, already eliminated from the competition, face Apollon Limassol in Nicosia this evening.
Morgan Feeney - An "old school" style centre-back that has already drawn comparisons with Toffees legend Dave Watson, Feeney has captained both Everton Under-23s and England Under-19s over the past season.
It's been a quite frankly very bad European campaign for Everton, who have taken just one point from a possible 15 in this year's competition.
Everton have had a very poor season and it seems like they are now in a relegation battle in the English Premier League.
The chances of that record improving here appear slim given the under-strength squad sent out to Cyprus, and the attention being paid to Sunday's Merseyside derby at Anfield.