Manuel Baum's men lacked in penetration over ninety minutes meanwhile Magdeburg remained focus until the dying minutes of the game to score two crucial goals.
Christian Beck scored the opener with three minutes remaining into the match after poking home a rebound following a corner from inside the box.
Augsburg were unable to respond whereas Magdeburg gained momentum to double their advantage in the closing period as Tobias Schwede netted a rebound from the left post to seal the berth for the second round.
Elsewhere, Hannover crushed Bonn 6-2, Leipzig overcame Dorfmerkingen 5-0, Wolfsburg edged Eintracht Norderstedt 1-0 and Stuttgart needed a penalty shootout to beat Energie Cottbus 4-3.
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