In the 2013 general election, Anyi made his electoral debut after being nominated by BN to contest for the Baram federal seat.
He won the seat and was elected into Parliament as the Baram MP for the first term after narrowly defeating his nephew Roland Engan of Pakatan Rakyat (PR) and another independent candidate by a majority of only 194 votes.
He defended it and was reelected as the Baram MP for the second term after defeating Roland of Pakatan Harapan (PH) again[2][3] by a majority of 1,990 votes.
[8] Instead, he was appointed Chairman of Malaysia Cocoa Board on 20 May 2020 replacing Deputy Minister of Home Affairs II and MP for Ranau Jonathan Yasin.
He defended the seat and was reelected as the Baram MP for the third term after defeating Roland of PH again and another independent candidate by a majority of 7,339 votes.