Alexander Meier and Takashi Inui grabbed the first-half goals either side of a straight red card to Wolfsburg's Josue.
Mountain to climb
Hosts Wolfsburg had the game's first real opportunity squandered by Bas Dost, but Frankfurt striker Meier faired much better three minutes later, nodding in Pirmin Schwegler's cross to mark his eleventh goal this season.
The Wolves were reduced to ten men shortly after following Josue's red card, and things turned from bad to worse when Inui doubled Eintracht's lead, finishing from a fine cushioned pass from Stefan Aigner.
Wolves lack bite
The home side emerged for the second period reinvigorated, throwing bodies forward in search of a goal but lacking creativity in the final third against their now deep-lying guests. Jan Polak twice tried his luck from distance, before Dost directed a powerful header off target.
Playmaker Diego went close with a free kick as the game petered out towards the end, while Meier had one of Frankfurt's rare second-half attempts blocked as the visitors coasted to victory.
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