Discriminatory behavior was reported during their Europa League fixture against Crystal Palace F.C. in March.
Shakhtar’s supporters were found guilty of engaging in racist and/or discriminatory behaviour.
The Premier League emphasised the importance of strict adherence to scheduling rules.
Everton have confirmed a supporter has been arrested following Monday evening’s PL clash between the two sides.
Supporters from several clubs used pyrotechnic devices such as flares and smoke bombs during matches.