Some universities allow students to get enrolled in English studies without having a Bachelor degree in English.
If someone completes an MA and PhD without a Bachelor, can that person become a professor in English?
Of course you can. Yes, once you complete a Ph.D. in English, you will not need a bachelor's degree and you will not need a master's degree when you search for a job.
Entry into a Ph.D. program in English may be done by those with bachelor's degrees in other, related fields. Or by those with appropriate experience outside academia.
And let's face it: Once you are awarded the Nobel Prize in Literature, practically any English department will hire you as a professor, even if you have no degrees at all.
I’m currently doing a Master’s Degree in IT in Australia, and my university offers two different courses: one two year degree for people without an IT undergraduate degree, and a 1.5 year degree for those that do. The difference between them is the presence of “transition units” intended to give those who complete them the level of competency in their material expected of someone who has completed an undergraduate degree. While my university doesn’t appear to offer a Masters of English, the creative industries courses it does offer appear to follow the same pattern, based on a cursory search of their website.
It’s my understanding that the first two years of an American 5-year PhD are coursework-focused and are roughly equivalent to the two-year Masters degree over here, with the other three years being equivalent to the three year PhDs we have. I’d be surprised if there was a significant difference between them, though, as always, every university is different.