The leaders of the top two divisions in Holland met on Wednesday, with top-flight pacesetters PSV coming out on top 3-0.
ADO were looking for a good start, but they fell behind on 13 minutes to a Mateja Kezman goal.
Dennis Rommedahl (pictured) added a second just after the half-hour, and the Dane made the game safe with the third on 71 minutes.
PSV will meet Heerenveen in the quarter finals after the Abe Lenstra outfit saw off Stromvogels/Telstar 3-1 on Tuesday.
Tuesday`s other tie saw Utrecht fight back from two goals down to see off De Graafschap 3-2.
Excelsior avoided a potential banana skin by beating Ajax reserves 4-2, with Cecilio Lopes the hero as he netted a brace.
Groningen may be at the wrong end of De Eredivisie, but they proved too strong for Haarlem. Glen Salmon scored twice in the 3-0 win.