Turbo.264 HD software and hardware can integrate with EyeTV, to help with exports.
To use the new Apple TV HD export in EyeTV 3.5.4 and above, you will need to use Turbo.264 HD 1.2.1 and above.
Here is the link to Turbo.264 HD 1.2.1:
http://edgedownloads.elgato.com/turbodownloads/support/turbohd_121_1604.dmg