I would go like this: Decide which gaussian and sigmoidal functions should work best for. Then use the fit function builder and create a duplicate of one function (e.g. the gaussian). Then add the new parameters neccessary to describe the sigmoidal function and create a new one that is basically y=gaussian_function + sigmoidal_function [e.g. y= y0+exp(-(x-x0)^2/w)+a/(1+exp(-k*(x-x0)))].
Parameter initialisation might prove a little difficult but if you have similar data, setting the initial values to fixed numeric ones for a start should be ok.
first of all feed your data in two column in origin.
then draw a scatter or line plot whatever you desire.
then make graph tab active and go to analysis and choose fitting and nonlinear fitting in that window choose gaussian or other model which is for your data.