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LP performance reports aren't as customizable and friendly as other reports in marketo, so we also have to use smart lists to track this information. We've recently implemented UTMs though which allow us to just pull a form fill list and we look at the "UTM term" to understand which email drove which form fills. I'd be happy to talk about that in more depth if you'd like!
This belongs to the product section, rather than Marketing discussions. You would have more answers if you move it there.
What you need to implement is an attribution system based on UTM parameters that you would add to email links. This will enable you to capture the exact source (down to which CTA in the email) that triggers each form fill out.
Search the community for attribution and UTM keywords, you will find plenty of resources.