That has meant that Sam Allardyce hasn't travelled with the side to Cyprus for the last game, due to a long-standing hospital appointment.
With their chances of reaching the next round already gone and the Merseyside deby against Liverpool coming up on Sunday, Lavery is one of eight players in with a chance of making his first-team debut, named in the first team's match-day squad for the first time.
Everton can not qualify from Group E after what has been nothing short of a disastrous European venture this season.
First-team coaches Craig Shakespeare and Duncan Ferguson will take charge of the team for the trip.
Harry Charsley debuts at left-back with a central midfield of Davy Klaassen who made it to the final of the competition a year ago and Morgan Schneiderlin.
17-year-old Ireland-eligible defender Michael Collins and keeper Mateusz Hewelt, who played schoolboy football with Stella Maris and Shelbourne, are substitutes tonight.
This week, the Toffees will travel away from home to take on Apollon Limassol in Cyprus.
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.
Alex Denny - England Under-17 global Denny is a ball-winning defensive midfielder by trade, but has also stepped up admirably to fill in at centre-back for David Unsworth's second-string team at times this season.
Everton finished their campaign in third position, racking up four points from six games.
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