In 2006, he moved to Kasoa where he signed a one-year contract with another Ghana Division One League club, Tuba Metro Stars F.C.

In 2009, he moved back to his hometown, Tarkwa where he signed a long-term contract with another Ghana Premier League club, Medeama SC.

[4][5] After failing to extend his contract with Ghana Premier League club, Medeama SC for the fifth consecutive season[6] he decided to make his first move out of Ghana in 2015 to the Middle East and more accurately to Oman where on 9 September 2015, he signed a one-year contract with Sur-based, Oman Professional League club, Al-Oruba SC.

[16] Within the season he scored 4 goals in a match against Berekum Chelsea and Aduana Stars and a hat trick against Great Olympics to help him win top scorer of the premiership that campaign.

[30][29] In July 2020, he confirmed in an interview with Wontumi TV that he had joined Ashanti Gold on a 1.5 year contract as the Miners sought to boost their squad ahead of their CAF Confederations Cup campaign.

[31][32] After scoring 5 goals in 8 matches in the first round of the season, he moved to Legon Cities in 2021 bringing an end to his 1.5 year contract deal.

[33] On 17 February 2021, it was announced that Kwofie had signed for Accra-based club Legon Cities after his contract with Ashanti Gold had ended, joining his previous coach Bashir Hayford, who coached him whilst at Ashanti Gold in 2017 and under whose guidance he netted 17 goals to win the top goal scorer during the 2017 Ghana Premier League.

[35][36][37][38] He made his debut for the Ghana national football team on 25 May 2015 in a 2–1 loss against Madagascar in the Quarter-Finals stage of the 2015 COSAFA Cup.