I just bought this evaluation module and on the page for the device it mentions that the firmware is included:
https://www.ti.com/product/FDC2214PROXSEN-EVM/part-details/FDC2214PROXSEN-EVM
I don't see it on your page, but in this thread it appears you can send the firmware to me over e-mail:
my email is dvondle@ideo.com can you please send it along? Thank you!