I hope you haven't been racking your brains for weeks, because it would have been far faster to to compile the list by hand. While it's a lot of miserable grunt work, it can probably be done in a couple of hours.
I'm not sure what's available on LCR, but with MLS custom reports, you should be able to do this.
This link will take you to a pre-made custom report for part member families.
Creating another report of unbaptized shouldn't be hard. I'm pretty sure it's also found as a standard action report as well.
But, keep in mind that the report will only be as accurate as the MLS data. You won't see part-member families where the marriage was never recorded on the membership record. (Perhaps because the member is inactive.) And for the unbaptized, you won't see any one listed who never had a child-of-record created for them. (And once they reach the age of 8, it's too late to create one.)
So, to get a complete and accurate list, you're going to need to the Priesthood Quorums and Relief Society to check with the HT/VT families to see if anyone got overlooked.
P.S. I removed the duplicate post you made. Making the same post in multiple sections if frowned upon.