The Bundesliga champions headed into the match at the Gottlieb-Daimler Stadion without a single point from the campaign, but they ran out 3-2 winners after Ciprian Marica snatched a late goal to send Walter Smith´s men back to Glasgow empty-handed.
Rangers now need at least a draw against Lyon in their final match to progress to the knockout stages, and Thomson said: "We´d have taken the position we´re now in before the group games started, because we´re close to making it to the last 16. But we conceded sloppy goals here, the first one especially. I, Barry (Ferguson) and Charlie (Adam) switched off a little bit - which is schoolboy stuff."
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