In some sentences in English, some adverbs can go either before or after some verbs and the meaning is the same:
"The flu is rapidly spreading on campus" and "The flu is spreading rapidly on campus" have exactly the same meaning, and neither would sound wrong to a native speaker (in my opinion).
The phrase "exaggeratedly spreading" (and the reverse) sounds strange to me because exaggeration is something people -- not phenomenon such as online comments -- do, even if the comments are made by people. A person can exaggerate his influence, but his actual influence would not "grow exaggeratedly."
There are phrases and idiomatic expressions that always use a specific word order. And, placement of adverbs cannot be changed if the adverb modifies an entire sentence, or is a particular word. Here is an excellent table showing various examples of adverb placement:
Just one example: "slowly" should come before the verb "finishing" in this sentence:
"She is slowly finishing her degree."
It is not standard, and sounds wrong to a native speaker, to reverse the word order: "She is finishing slowly her degree."