Is that a photoshop file placed in an indesign file? Or is it the same colour used to fill a shape in both programs?
How have you got that setup?
In InDesign how does it look if you go to view>overprint preview?
I have my color settings synchronized through Bridge
Bridge synchronization only affects future documents, existing documents are color manged by their assign profiles—Edit>Assign Profiles–which could be different than your Color Settings' profiles.
Select the problem Photoshop file and set Object>Image Color Settings... to Use Document Default. If that doesn't work double check that the Photoshop file is indeed CMYK via the Links panel info