Print publications that are no longer in print are (were) still print publications. You would therefore cite them the same way you would any other newspaper article from a still-extant paper. (Citation format varies by style guide.) However, if you only accessed it via an intermediary, like a compilation (bound volume) or a digital archive, then you should also cite where you found it. One way to do that (again, your style guide might have opinions on this) would be:
Rosenberg, G. (1997, March 31). Electronic discovery proves an effective legal weapon. The New York Times, p. D5, as reproduced in __, The New York Times Compilation, Volume 103, p. 1952.
(This is an adaptation of APA style.)
You said "quoted or paraphrased". A paraphrase is a different work, so follow your style guide's rules for how to cite Source A adapting Source B. In my experience you would cite Source A there, because that's the source you used, and you might say in the body of your work (not as a citation) that this is a paraphrase of Source B.
A general rule for citations is: cite what you used, and never cite something you didn't see. In my last example, you never saw the original (Source B), so you cannot cite it. What if Source A was wrong in its claims about Source B?