DVB-T: (Terrestrial Over The Air most commonly using MPEG2; pretty much everywhere except in the USA).
DVS-S: (for Satellite used by Dish for all services and by DirecTV for HD services--However, various upgrades to DVB-S and/or some services at DVB-S2).
ATSC: (Terrestrial Over the Air broadcasts in USA) ASTC and DVB-T are INCOMPATIBLE.
This box is a DOA for Dish: Australia is legacy PAL; USA is legacy NTSC. While PAL and NTSC truly refer to analog broadcast systems, PAL and NTSC is still used to refer to the frame rate of the signals from the analog outputs of any box. Put simply, Australia and New Zealand still uses 25fps for its legacy TV's, while USA still uses 30fps (yes, truly a fraction LESS than 30 accounting for burst) for its legacy TV's. This means the Aus/NZ box input is INCOMPATIBLE with the Dish box output.
Now, there are even MORE reasons why this won't work the way the OP wants (trying to marry a satellite earth station box with a stand alone PVR (TiVo has a trademark on "PVR" in this country--that they don't even use anymore--and this is why we use the "DVR" moniker, instead), but there is no point in going in to all of that because it is still DOA of an idea. This idea never had a chance. OP, save yourself some money and find another solution, but I still don't know what the main point was? Was it to increase the number of tuners? That was already answered in a previous post.