Hey kippa,
I'm not 100% sure on this, but you may have problems because your set top box uses the IRDA standard for i/r control, whilst your Tivo will use the more standard consumer based ir control. Have a look at
http://www.redremote.co.uk/ for more information about this. It depends on which model you have.
I don't know much about the red eye device though - and don't endorse it in any way.
Phil.