You're going to have to provide more information if you want to get more specific help.
What exact model Tivo is the source?
"HD Splitter" "HD Cable" ?!? Are we talking HDMI? Component?
Make, model, type of splitter?
50' is pretty far. If its HDMI, what are the specs of the cable? Attenuation is an issue if its not spec'ed well enough (heavy enough, shielded well enough, etc)
What exact devices are you connecting to?
In what way is it "Not working" exactly?
What troubleshooting steps have you taken?
What data did you gather while attempting your troubleshooting?
Who are "they" that want you to buy equipment? What are you spending $190 on now? confusing.
-Roamio Pro/Slide Pro
-Stream (Gotta go unplug the sucker one of these days!)