This support document, however, says, that you might be able to use iRed (http://www.filewell.com) as an alternative:

http://help.elgato.com/customer/portal/articles/1139750-how-do-i-configure-eyetv-for-set-top-box-support-us-and-canada-

That may be a solution you can implement NOW but will most likely require (pricy) new IR hardware.

If you can wait a bit longer before upgrading to 10.10: I've been working on IR blaster support in Remote Buddy for a while (and already have a working prototype) and hope to share results within the next 12 months. This is purely informal, though: as priorities constantly shift, I can only make estimates, not promises, regarding future features.