Is this true? Not sure if
Signup up is a gerund
And if so does it need to modified by a possessive?
It doesn’t sound right to me with “your”
Gerunds function like a noun while looking like a present participle. And we already know possessive pronouns (your, my, etc) can be followed by a noun.
Your drawing (the noun, not a gerund) is impressive.
Since gerunds function like a noun, “your signing up” can be correct.
To add though, your first sentence isn’t that wrong either.
I appreciate you signing up to watch the story . . .
You wanna know why? Here’s why.
Here, the word “you” serves as the noun while “signing up” can serve as the “participial phrase” that modifies the noun. For clarity, here’s another sentence:
I appreciate the lid covering the bottle from spilling its contents.
Here, the lid is the noun, while “covering the bottle” is the participial phrase modifying it. See what I did there? “Modifying it” is also a participial phrase.
Okay, in conclusion, both of them are correct, so don’t worry.