Stacy made a very good post here, it really helps:
https://www.beatthegmat.com/ing-modifier ... 38943.html

Firstly I think you meant "Present" Participle in your post. Personally, I differentiate between the two by looking specifically out for Subject/ Object forms. If an ing form is not that, then I will check if it's acting like a verb. If so, then it is a Pr. Participle.

Also, I dont think ing form of the verb is always followed by "be" form. I recommend Manhattan GMAT SC Guide specifically for this topic.

This is from MGMAT CAT, in this A is wrong and explanations says that Having been won modifies Classical guitar, however ing modifiers modifies the entire clause.

Any thoughts

Classical guitar was neither prestigious nor was often played in concert halls until it was revived by Andres Segovia in the mid-twentieth century, having been won over by the instrument's sound despite its relative obscurity.

a. Classical guitar was neither prestigious nor was often played in concert halls until it was revived by Andres Segovia in the mid-twentieth century, having been won over by the instrument's sound despite its relative obscurity.

b. Classical guitar was neither prestigious nor played often in concert halls until it was revived by Andres Segovia in the mid-twentieth century, having been won over by the instrument's sound despite its relative obscurity.

c. Classical guitar was not prestigious and was not often played in concert halls until Andres Segovia revived it in the mid-twentieth century, after he was won over by the sound despite the instrument's relative obscurity.


d. Classical guitar did not have prestige nor was it performed often in concert halls until its revival by Andres Segovia, who in the mid-twentieth century was won over by the instrument's sound despite its relative obscurity.
e. Classical guitar was neither prestigious nor was often played in concert halls until Andres Segovia revived it in the mid-twentieth century, when he was won over by the sound of the relatively obscure instrument