I think you're a bit confused, but I may just be misunderstanding what you're asking.
Changes in entropy and enthalpy are the two factors (along with temperature) that give you your gibbs free energy change for a given reaction (the favorability of a reaction). This is generally referred to as the thermodynamics of a reaction.
The rate of reaction is determined by the order of the reaction, the temperature, and the activation energy of the reaction. This is generally referred to as the kinetics of a reactions.
There is not necessarily a relationship between favorability and rate.