Shrug aside his limitations, short of Test class with both bat and ball

Robin Singh, an athletic allrounder, has tenacity and commitment as his greatest allies. In his second coming at 33 - seven years after he made his international debut in his birthplace, Trinidad - sharp, gutsy pressure-play earned him a regular place in India's one-day team. A master of the quick single, and a powerful, flat hitter over the leg side, he is a valuable batsman at the death -- and occasionally, in pursuit of big totals, up at No. 3. His military-medium offcutters can be useful in the middle overs, but his bigger contribution in the field is manning the cover-point region, where he stops certain boundaries and holds improbable catches. Short of Test class with both bat and ball, he will nevertheless be remembered for shrugging aside his limitations and getting on with the job. He retired from all forms of cricket in January 2004 and embarked on a career in coaching, training India's junior and A squads. He was appointed as India's fielding coach before the tour of Bangladesh in May 2007. He held that position for more than two years but India's disappointing showings in the two world events of 2009 cost him his job. Prior to that, he took over as Mumbai Indians' coach for the third season of the IPL. Rahul Bhattacharya October 2009.

I just wonder if the highlighted parts mean that "He lacks ability to bat and bowl" or "He is a kind of class batsman with both bat and bowl".

Also, I wonder what "shrugging aside his limitations". I guess it means "not interested in correcting his mistakes/limitations".