I've sorted them into categories to make it easier.
Love
Asher Bellamy - Usually I could take or leave Asher, but I think it goes wonderfully with Bellamy. Sort of a soft-sounding but still masculine combo. Really great!
Caden Winter - Caden is another one of those names that I don't love, but you've really made it work here. I've never thought to use Winter on boys, although I love the nickname Win, so it's really a great idea. A really unexpectedly great combo.
Eliot Thackeray - Super handsome and literary! Eliot/variants have been growing on me more and more recently - Elliot Calder is on my own list.
Theodore Finch - Really great combo all around. I've always loved Finch.
Wren Fitzwilliam - Really handsome! Wren on boys is growing on me after seeing it a couple times, and I adore Fitz names. The flow here is perfect.
Like
Asa Huckleberry - Love Asa, and I like the combo's flow and literary connection, but Huckleberry seems like a bit much for me.
Aubrey William - Still not sure if I like Aubrey (on either gender), but you're starting to convince me haha. William is a handsome classic and they go really well together.
Finley Balthasar - It's very surprising to me that I like a combo with Balthasar as the middle, but I love Finley and I just think this is a really charming combo.
Henry Montague - I like Henry (although a personal connection has made it unusable for me), and Montague is a cool nod to Romeo & Juliet. Really nice flow/sound too.
Hugo Penley - I really like Hugo, and Penley is interesting. They go well together.
Leo Hawking - Strong and animal-y but also soft and classic. It has a really good sound.
Rudy Llewellyn - I adore Rudy, and Llewellyn is interesting in sound, but quite difficult to remember how to spell. They go well together.
Neutral
Brogan Robert James - not crazy about Brogan (mostly because of the 'bro' beginning, it reminds me of the common slang), but the combo has a good flow.
Calvin Draco - I like Cal names, and Calvin is no exception, but I don't like Draco (the Harry Potter association is just so strong), so it kind of balances it out.
Dax Hawthorne - Love Hawthorne as a middle (great literary association, and a down-low nod to my beloved Gale Hawthorne from the Hunger Games - and also nature related! what a winner). Dax I don't really like, but it's not horrible.
Deacon Felix - Not a fan of Deacon, but I absolutely love Felix. It's so hard to find something to pair Felix with and have it sound good, and you've pulled it off.
Fox Nathanael - Fox is cool, but I would probably prefer it as a middle. I also prefer the spelling Nathaniel. It has a good flow, but I think I would like Nathanael Fox a bit better.
Finnick Jude - I really like how this combo sounds, and I adore Jude, but I just can't get on board with Finnick. It reminds me of the word finicky, which isn't really a good thing (although the character in THG is quite lovable).
Jago Fletcher - Really interesting combo. I love Fletcher. I've actually never heard of Jago, and I'm not totally on board yet, but it sounds kind of cool.
Jack Lysander - I think Lysander is really cool for a middle, I'm just iffy on using Jack as a first when there's so many more interesting firsts to choose from (I've struggled to find a spot for Jack in my own list, since I'd like to honor a relative).
Jay Osiris - Don't like Osiris, but Jay is nice.
Lennon Samuel - If it were Lennox instead of Lennon, this would be in 'like' (although it wouldn't flow as well). There's just a bit too much N in Lennon for me. Samuel is a great middle though.
Miller Jackson - Decent names, but a bit too surname-y for a combo. I mostly noticed because on The 100, one of my favorite TV shows, there are two characters who are called by their last names, Miller and Jackson.
Oscar Tristan - Both names are nice, but I think the the flow is a bit off, maybe due to the S sounds and both being two syllables and sort of abrupt.
Orion August - I really love August, but I'm not a big fan of Orion - I like the stellar association, but I don't like the way it sounds.
Rainer Montgomery - Rainer is handsome (Did you once have Hugo Rainer on your list? It's coming to mind and it's a handsome combo), and they sound decent together, but Montgomery is just such a mouthful and not really my cup of tea.
Russell Fisher - Not a fan of Russell, but Fisher is really handsome as a middle and they go well together.
Sylvester Pine - Not going to lie, it sounds like a tree species (although it has a good ring to it). I guess for me, Pine is a little too far into nature to work as a name. Sylvester might be nice as a middle.
Shepherd Oliver - I like Oliver, and Shepherd is okay, but I feel like it's not a great match. The flow is a bit clunky to me (which is rare for your combos). I think Oliver Shepherd has a much better sound.
Don't like
Atley Benedict - Just not a fan of either name. The combo sounds nice, but as a name, Atley feels sort of... unfinished, I guess? Like it's missing something. Adler Benedict would be interesting.
Byron Mordecai - Just don't like either one here, sorry.
Digby Holden - I just really don't like Digby. Holden is okay.
Emrys Harper - I like Harper on boys, and I want to like Emrys... but it just doesn't work for me.
Edmund Aloysius - Not a fan of either name.
Emory Calix - Not for me. It feels overly trendy, and I don't really like either name individually.
Huxley Jonah - I like Jonah, but I don't like Huxley at all. Sorry.
Hamish Rafferty - Not a fan of either name here.
Isaac Bravery - Isaac is okay, but in my opinion Bravery is too much of a word to be used as a name.
Lane Maverick - Just don't like either name.
Lucas Prospero - I like Lucas, but I don't like Prospero and the Ss clash a bit.
Mackenzie Ajax - Really dislike both of these names.
Otto Wilberforce - I think Otto is cute, but Wilberforce is just too much for me.
Peyton Maxfield - Don't like either name, sorry.
Rocco Sebastian - I really like Sebastian, but I don't like Rocco at all.
Vander Ignatius - Not a fan of either name.
I'll get around to the girls eventually!