The Faithful County will be playing Division Three football next year.
Offaly are heading back to Division Three of the National Football League after losing their sixth straight game yesterday.
Cavan were two point winners in Tullamore on a final scoreline of 2-20 to 3-15.
Mickey Harte and Declan Kelly's side reached the break two points to the good but faced a stiff wind in the second half.
Cavan saw off the Faithful County in a thrilling contest thanks in large part to two avoidable goals from Oisin Brady and Ryan Donohue.
Kelly says while injuries made life trickier this season, his players have to accept where they are:
Dylan Hyland top scored for Offaly with seven points while Diarmuid Egan, Daire McDaid, and Jack McEvoy scored the Faithful's goals.
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Westmeath set up a promotion decider in Division Three against Wexford with a 4-21 to 3-8 victory over Limerick in Cusack Park.
Laois were beaten on the road on Saturday, they went down to Fermanagh by two points, 2-13 to 1-14.
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