I've had a bit of a think about this, and I'm not sure it would be easy (or even a good idea) to try to add a few parts to this project to make it measure ESR.
This meter was optimised for low cap current, and a large voltage swing to give good accuracy and high resolution measuring capacitance.
If you need an ESR meter for fault finding, it is important to have a very small voltage swing <0.3v maybe even <0.1v (so as not to activate any semi junctions in the target PCB). Also the fault ESR of many caps that you need to test are PSU caps and might have a fault ESR as low as 1 or 2 ohms. So the cap ESR needs to be measured in a way to give good low-ohms measuring which means higher cap currents and an opamp system set up for very low voltage oscillation at a fairly high current (tens to hundreds of mA).
Really I think a good ESR test meter for electros 1uF to 2200uF (especially an in-circuit ESR tester) would need a very different circuit approach to the one I chose for this project, which was chosen for beginner simplicity and high resolution measuring of caps from 50uF down to the sub pF range.
Sorry guys! But if someone is interested in designing a good ESR meter (which would deserve its own thread) I have a few ideas to throw into the mix.