The hosts, enjoying an excellent end to September after a blip in form, finished the game the better side after a tough United Counties League Premier Divsion encounter.
Stuart Smeathers gave Cogenhoe the lead, heading into an empty after the vistors were claming a foul on keeper' Daniel Bircham, before Luke Emery douled the lead with a superb effort via the post.
But Levi Wright's slotted after Jez Goldson-Williams drive was parred by Jamie Brassington.
Emery's third goal of the season and in succsive games ensured The Cooks recorded a seventh victory in the Premier Division, and kept them four points adrift of leaders Yaxley.
But a second successive away defeat leaves the Lincolnshire outfit midtable and compounds a miserable afternoon for Tuncay Korkmaz, who received his marching orders before half time.