Is there a word for academic misconduct where an academic piece is paraphrased, using the same references?

According to Oxford University

Plagiarism is presenting someone else’s work or ideas as your own, with or without their consent, by incorporating it into your work without full acknowledgement.

Note that it says work not words. It doesn't matter if the words are different or even in a different language. If you have stolen someone's work, you are guilty of plagiarism.

If the new piece is not academic - perhaps it is for a newspaper, you should still acknowledge the original author.

Technically speaking, this is "paraphrasing" as none of your exact words were copied.
However, depending on the circumstances and nature of the assignment, paraphrasing can also be considered just as bad as plagiarizing.