I saw this term, backshifting, in an answer to another question, that was not endorsed by the community:
[T]he process called backshifting...signal[s] that the speech is not direct/quoted but rather it is indirect/reported.
That sounds very interesting, but unfortunately, I can't be sure of if this given definition is correct, as it is found in a downvoted answer.
So: What is backshifting, and how does it apply to English? As always, plenty of examples are requested!