The current version of Color Finesse is not color managed, so it doesn't know about your working space.
One (not great) workaround is to use the View:Primary Preview LUT menu to select a viewing LUT. We provide a Rec.709 LUT which will take linear to Rec.709 gamma of 2.22. This is not exactly sRGB but is "close."
You can create your own viewing LUT by adjusting Color Finesse to get the desired gamma, then saving those setting via File:Export:Setting to Color Finesse Preview LUT, then loading that saved LUT as the Primary Preview LUT.
Thanks for the quick answer, it seems to work to change the Preview LUT.
Also thanks for the tip with the profile converter but it seems that the color correction is just a little different then. But that would need a little more testing.
if i'm right, if you work in Linear color space in AE and you set as Working space sRGB ..., you "see" your compositing in sRGB (gamma 2.2 but you work in Linear (gamma 1.0).
Therefore, when you turn in Color Finesse you see your linear footage darker, as for exemple a 3d render. It's correct!
You have simply to choose ITU.R 709 ( gamma2.2) that corrispond to sRGB Working space you use to see your composite in AE.