In September, the issue was verified by a Google News community manager, but it seems that a fix won’t be coming anytime soon.

The app also continued downloading using cellular data despite the ‘Download via Wi-Fi’ setting being turned on. Extreme cases have seen over 20GB of data being downloaded, as a result. This could lead to unexpectedly using up monthly data quotas, or in the case of certain pre-paid plans, lead to excess data use charges. At this stage, the only way to prevent this from happening is to disable background data and deleting the app. (Source: Google, The Verge)

Google News App Bug Causes Excessive Background Data Downloads - 98