Internet sources seem to agree that, in the list of references, the title of an article written in a non-Latin script should be transliterated and also translated. Similarly, the title of the journal should be transliterated if necessary. My question is: should non-English journal names should also be translated in the references?
I'm just guessing here, but have the following suggestion. If the journal, itself, provides a translation then use that. But otherwise, use the formal name that the journal uses no matter the script or language. The name is likely trademarked and also likely known worldwide by its official name. So use that name.
A journal regularly publishing in several languages, of course, might, theoretically at least, have official translations of its name. But otherwise, use the same form that they use.
There is no single way to do references. There are many different formats (MLA, APA, Chicago, etc.) -- some publishers will specify a required format, others will not. Further, in many contexts, anything reasonably close to a standard format will not raise eyebrows.
Both APA and MLA conventions seem to say no, however. Both of these seem to give the article title in the (1) original, (2) transliteration, and (3) translation, but give the journal title in transliteration only. If you are citing a translation of an original article, there are separate rules for that.