For linux, just install fprintd with standard package manager, and run fprintd-enroll to enroll the print, and it should be automatically available from login manager.
And if you wanna use it with any sudo invocation too, which isn’t officially supported by libfprint/fprintd, you can install pam-fprint-grosshack, you’ll require to add those two lines in the project README to your /etc/pam.d/system-auth.