The data sheet for the bq40z60 Programmable Battery Management Unit IC says that it works with Lithium Polymer and Lithium Ion cells but does not mention LiFePO4 cells.
The data sheet is dated 2014 and LiFePO4 cells were readily available before then so I'm not sure why LiFePO4 were not mentioned in the data sheet unless it was intentional, but don't understand why.
Does the BQ40Z60 work with LiFePO4 cells?