What does erin go bragh mean?

Speakers of the Irish language often state that the phrase is a corruption of the Irish "Éire go brách", or "Éirinn go Brách", which would be pronounced /ˈeːrʲə gə brɑːx/. However, it should be noted that the Scottish Gaelic phrase "Èirinn gu bràth," which literally means "Ireland until the Day of Judgement," is pronounced almost identically to the Anglicized phrase.