What makes a process exergonic? Well, it is helpful to consider the equation for Gibbs free energy: ΔG = ΔH - TΔS. Since exergonic processes bring your system to a state of lower free energy (i.e. ΔG < 0), processes that lower the potential energy of your system (ΔH < 0) or increase its disorder (ΔS > 0) will help a process be more exergonic.
How does one lower the potential energy of the system? Well, for carbon-based compounds, the answer is basically by increasing the number of bonds carbon has to oxygen. This is true because carbon-oxygen bonds are much more stable (i.e. have a lower potential energy) than carbon-hydrogen or carbon-carbon bonds.
What about the disorder of the system? One easy way to increase the disorder of a system is to break large molecules into smaller molecules.
Now, consider the Krebs cycle. The cell feeds acetyl-CoA into the Krebs cycle and it releases two molecules of carbon dioxide and regenerates free coenzyme A (CoA). Does this process create products that have a lower potential energy than the reactants? Does the process increase the entropy of the system?