One problem related to steering column has been reported for the 2013 Audi A4. The most recently reported issues are listed below. Please also check out the statistics and reliability analysis of the 2013 Audi A4 based on all problems reported for the 2013 A4.
Car developed notchy feeling when trying to keep vehicle straight on highway roads. Requires constant input in both right and left directions. Similar to trying to correct for cross winds from both sides even though calm conditions. Car had up-grade to steering module at 5k miles which dealer said I had no choice in the matter. Car then went to dealer for steering column bushings and other parts according to their internal recall. Now car has lighter feel but does not rebound to neutral or 12 o,clock position. Does not pull in any direction but rather remains in whatever direction needed to correct to traveling in straight line. Little input to go left, remains traveling slightly left. Same thing correcting to right. Audi aware of problem but has no definite fix. Very pronounced at lower temps especially below freezing which does not help in the adirondacks. Am told this system saves 1 mpg. Not worth the sketchy and untrustworthy behaviour .