In fitteia consider the following definitions in the appropriate fields in the fitter module:
Independent variable: tau
Dependent variable: Mz
Expression: Mz=Minf\+(M0-Minf)*p11*exp(-tau/T11)\+(M0-Minf)*(1-p11)*exp(-tau/T12))
fitting parameters: Minf,M0,p11,T11,T12
The "\+" will produce a plot where "Mz" and the contributions "Minf", "(M0-Minf)*p11*exp(-tau/T11)", and "(M0-Minf)*(1-p11)*exp(-tau/T12))" will drawn.
In other fitting software substitute "\+" by "+".