He has been world champion four times in the Canadian canoe C-2 event with partner Daniel Jędraszko.

Baraszkiewicz debuted at the 1996 Summer Olympics in Atlanta, where, paired with Marcin Kobierski, he was eliminated in the first semifinal of the C-2 500 m event.

That same year Baraskiewicz also won two C-2 gold medals at the European championships (in the 500 m with Jedrasko and also in the 1000 m with Michał Gajownik).

At the 2004 Summer Olympics in Athens, Baraszkiewicz and Jedrasko disappointingly failed to win a medal.

All told, he has earned as of 2010 a total of fourteen medals at the ICF Canoe Sprint World Championships.