A year later he joined RFK as it won its first Latvian Higher League title.
Over the eleven seasons that Tauriņš played with RFK he won seven Latvian league titles - the highest number for any Riga footballer in pre-war Latvia, matched only by Kārlis Tīls and Fricis Laumanis of Olimpija Liepāja.
Tauriņš was notable not only for his club successes, but also for his career with the Latvia national team.
Tauriņš played in 39 matches for the national team and scored 10 goals, making him the fifth most-capped footballer in pre-war Latvia and the country's fourth highest international goal-scorer.
One of his goals brought Latvia victory in the first-ever Baltic Cup.