The three sides had already safely qualified for the round of 32 with time to spare, but it proved to be plain sailing once again as they racked up a eight goals without reply this evening.
Four of those goals are credited to Shakhtar, who scored a couple in either half to cruise past Konyaspor in Ukraine, while Braga and Gent played out a 2-2 draw elsewhere in Group H to leave things wide open for second place.
Zenit and Schalke put two past Maccabi Tel Aviv and Nice respectively, meanwhile, with the Ligue 1 high-flyers now unable to progress from Group I as a result of their fourth European defeat of the campaign.
It was a disappointing night for Dundalk, too, who slipped to a 1-0 reverse at home to a previously winless AZ side in Ireland to also see their hopes remain hanging in the balance ahead of the closing matchday in two weeks' time.
Arguably the most entertaining match of the night came in Southampton's Group K, though, as Hapoel Be'er Sheva recovered from two down to beat fallen European giants Inter Milan 3-2, setting up a straight shootout with the Saints in a fortnight's time.
Europa League matchday five results in full: Astana 2-1 APOEL, Fenerbahce 2-1 Zorya, Gabala 3-1 Anderlecht, Zenit 2-1 Maccabi Tel Aviv, Ajax 2-0 Panathinaikos, Celta Vigo 1-1 Standard Liege, Fiorentina 2-3 PAOK, Gent 2-2 Braga, Be'er Sheva 3-2 Inter Milan, Krasnodar 1-1 Salzburg, FC Zurich 1-1 Villarreal, Slovan Liberec 3-0 Qarabag FK, Schalke 2-0 Nice, Shakhtar 4-0 Konyaspor, Sparta Prague 1-0 Southampton, Bucuresti 2-1 Osmanlispor, Roma 4-1 Victoria Plzen, Athletic Bilbao 3-2 Sassuolo, Austria Vienna 1-2 Astra, Dundalk 0-1 AZ, Genk 1-0 Rapid Vienna, Manchester United 4-0 Feyenoord, Olympiacos 1-1 Young Boys, St Etienne 0-0 Mainz 05