Now that I've got the time, let me go and explain some of the underlying logic behind my scores.
I can only explain my scores, not my judges, who I did not know or have any contact with and who I clearly have different tastes than. I am also woefully inadequate at explaining good qualities, something I'm trying to work on.
Lore: I didn't care how much lore you wrote (although I DID care if all you had was a paragraph - you can do so much better if you're getting graded), I cared whether or not it told a story about a champion that let me know who this person is and what they want - meaning giant walls of text weren't necessarily given a better grade. If you mentioned a pre-existing champion, I probably docked points for taking them out of character. As an on-and-off roleplayer for over 10 years, staying in-character is something I take seriously. It's not that you can't use canon champions, but you should take more than a good deal of time studying that champion and making sure the actions they take and the words they say are consistent with that character as a whole.
Flow/Fun: It's not fun if your champion is broken or too weak to do anything. Before you call a kit finished, examine it closely and ask yourself "How the hell am I supposed to stop this guy?" If you can't come up with a good answer most of the cast can use, you've made a grievous mistake. Most of my deductions were along those lines - the champion had at least one completely overpowering thing that just meant you'd be an idiot if you didn't ban them. Additional mechanics for the sake of adding them - such as, say, getting a unique item for free or being able to store minions, completely agnostic of champion abilities or passives - were similarly docked for adding way too much power to a champion than they should logically possess.
Design Implementation: Does your champion do their job? If so, then have a high score here, even if your champion is obnoxiously unfun otherwise, which explains a lot of disparities in my scores. For everyone else, when making a champion, consider their competition and likely opponents. They should be able to fight on more-or-less even ground with those people while still having their own selling points. Making, say, a mage with damage only, means you're running afoul of LeBlanc, Brand, Annie, and more who can do the same thing, but also have something extra to contribute.
Novelty: It's League of Legends, you can do so much better than Guy With Sword(s). This is an overall check of the lore, the kits, and the overall thematic of the champion and whether or not they bring something new and exciting to League. (Guy With Sword(s) is not exciting, by the way, we have Yi, Yasuo, Tryndamere, Garen, Aatrox, Fiora, Kayle...it's pretty well-covered, at least make it a laser sword from Piltover or something.) If you had a neat idea (like a spring golem - secretly one of my favorites) with new mechanics, you got a good score. If you ripped from other champions either in theme or kit, not so much.
Cohesiveness: The rubric literally lists matching the kit with the lore. The short of it is that is your kit so interlinked with your champion that it would be completely weird to see it put on someone else, even if you reflavored it? As an example of this, see Illaoi - nothing she does could really work on anyone that wasn't also some kraken priestess. The best scores here played up their champion's thematic to the best degree possible.
Good Neighbor Bonus: Half of you had no bonus. I checked, too - if you didn't have a link (WHICH YOU SHOULD), I searched your post history within the boundaries of the contest. If you don't have a bonus, you're honestly shooting yourself in the foot - Theogen could have won with that bonus, for instance, and several other champions could have had a better showing with those free points. Beyond that, give the kind of feedback you yourself want to get. Don't half-ass it, especially if you want them to review you in exchange.
I'm also saddened, as a marksman main, that no marksmen were created this contest.
I'll answer any questions about my scores on your champion.