Bundesliga is now showing on the beIN sports connect website, so presumably they won the rights. Not sure what the outcome for LaLiga will be, possibly could be done through youtube?
To watch the football on ITV in NZ all you need is a VPN such as Nord, Pure VPN or Surfshark which all have discount subscriptions.
The benefit of a VPN subscription is that you can also access lots of free content on the BBC iPlayer, Channel 4, Aussie TV websites, geo-blocked You Tube football content etc.
La Liga matches here on ITV:
https://www.itv.com/watch/laliga-202223/10a2804
All sport on ITV including EFL and Carabao Cup highlights shows etc.:
https://www.itv.com/watch/categories/sport