As you can see, I've translated a longer passage than your source term. Allow me to explain.

I searched for your source term, and found an Austrian webpage in German, which Google had cached. The context there indicates that students at this institution are trained to be academic subject experts in whatever their course is about.

The wording seems rough in the original German. They surely intend the adjective "academisches" as an elaboration on the rigorous character of the course. I am so sure of this, that I'm willing to not only move their German adjective, but change it to "akademischer" in order to agree with the grammatical gender of "Lehrgang".

Hence:

Akademischer Lehrgang universitären Charakters – Sport- und Fitnesstraining

University-level academic course – Sport and Fitness Training

Please note that "Sport and Fitness Training" is the subject of the course. Consequently the word training should be left just where it was in your source text.

In this context, training is synonymous with exercising, or "working out". The recipient of the certificate has taken an academic course on the subject of how people should exercise in order to a) avoid or recover from injuries, and b) improve their athletic prowess, physique, or physical fitness.

The translations you offered would both be perfectly well understood. However, I have tried to cleave as closely as possible to the wording of the source text, and to what I think they meant to say.

I am deliberately retaining the variant you used, which is correct for Australia: "Sport". (In the US, we would say "Sports".)

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Note added at 1 day13 hrs (2011-11-15 15:49:12 GMT)
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To sum up: Sport training and fitness training are physical activities. By definition they cannot be academic. However, a course about them could be.