Anuka was a member of the 2nd and 3rd parliament of the 4th republic of Ghana.[1] He is a member of the National Democratic Congress. He represented the political party at the Builsa North constituency of the Upper East Region of Ghana.[3] His political career began when he contested in the 1996 Ghanaian General elections and won on the ticket of the National Democratic Congress.[4][3] He polled 12,794 votes out of the 17,912 valid votes cast representing 56.10% over Avaasi Solomon Akumboa who polled 3,440 votes representing 15.10%, Atulisi Alakawon Andrew who polled 837 votes representing 3.70%, Azaanab Waksman Akuobey who polled 524 votes representing 2.30% and George Kwadwo Amarnah who polled 317 votes 1.40%.[5]
Anuka was elected as the member of parliament for the Builsa North constituency in the 2000 Ghanaian general elections.[1][4] He won the elections on the ticket of the National Democratic Congress.[4] His constituency was a part of the 8 parliamentary seats out of 12 seats won by the National Democratic Congress in that election for the Western Region.[6][7][3] The National Democratic Congress won a minority total of 92 parliamentary seats out of 200 seats in the 3rd parliament of the 4th republic of Ghana.[6] He was elected with 6,280 votes out of 16,109 total valid votes cast.[1] This was equivalent to 42.2% of the total valid votes cast.[4][1] He was elected over Agbaadem J.B. Stanny of the People's National Convention, Azagsuk Azantilow of the New Patriotic Party, and Grace A. Abaayiak of the Convention People's Party.[4][1] These obtained 5,858, 2,162 and 591 votes respectively out of the total valid votes cast.[1] These were equivalent to 39.3%, 14.5% and 4.0% respectively of total valid votes cast.[4][1]