Kazakhstan Premier League: 2014, 2015
Kazakhstan Super Cup: 2015

Twumasi joined the Latvian Higher League club Spartaks J?rmala from Red Bull Ghana prior to the 2012 Latvian Higher League season. Soon he established himself as a first eleven player, scoring 10 goals in 22 league appearances and becoming the team's top scorer and divided seventh top scorer of the championship. In the beginning of the 2013 season, Twumasi scored six goals in the first nine matches and was named Latvian Higher League player of the month in May 2013

In July 2013, Twumasi joined the Kazakhstan Premier League club FC Astana on loan from Spartaks J?rmala. He scored six goals in 11 matches during the loan spell and later returned to Spartaks J?rmala.

Prior to the 2014 season, Twumasi was given out on loan to the Russian Premier League club Amkar Perm. He made his debut in the Russian Premier League on 10 March 2014 in a game against Volga Nizhny Novgorod.

On 9 July 2014, Twumasi rejoined FC Astana on loan for the rest of the 2014 season. Scoring 10 goals in 11 matches he became the club's top scorer and helped Astana win the league. Twumasi's performance attracted attention from other European clubs in late 2014, however, at the start of 2015 the player himself confirmed Astana stay, wishing to participate in the UEFA Champions League.