Spainiard Counago opened the scoring for Town after just two minutes of play with a neat finish past Derby keeper Andy Oakes before Lebarthe Tome levelled things up for the Rams.
Derby completed the comeback from 1-0 down when they made it 2-1 early in the second half thanks to a goal from Jimmy Turner. However youngster Dean Bowditch had the last word, driving home with just eight minutes to go to send the blues back to Portman Road with a point.