[2][3] Orit started his career at Odudwi FC in Uganda's fourth tier in 2013, and had spells at Soroti Garage, Junior Eagles and Future Stars before signing for Uganda Premier League side Mbarara City in summer 2017.
[3][4] On 2 July 2020, it was announced that Orit had joined Ugandan champions Vipers SC on a three-year contract, becoming their second signing of that summer.
[4] Orit made his debut for Uganda on 22 January 2021 in a 2–1 defeat to Togo in the 2020 African Nations Championship.
[1] He scored his first goal for Uganda in their following match with a shot from 16 yards in a 5–2 defeat against Morocco on 26 January.
Upon signing for the club, Vipers SC manager Fred Kajoba stated that he played as a "wide forward often cutting in from the left but has at times played on the right and off the main striker".