There was a similar question asked in the Wireless Power Forum but I am not able to post this there.
I am using a BQ51050B and I want to have a red LED for charging and green LED for charge complete.
Does the CHG output go tristate when the charge terminates? If so, I believe I can tie the red LED to the CHG and RECT and invert the CHG output with a MOSFET and have the MOSFET drive the green LED from the RECT rail. If the device is not on a charger I assume the RECT rail will be at 0 volts.