Overall: This is a really cool concept! I think the tutorial should be somewhere in the game, and not just on the downloads page though. speaking of the download, why is it an installer? It's a unity game, you could just upload a .zip to the page.
Fun: I definitely enjoyed trying to go as fast as possible in the name of keeping a high combo. The timer was absolutely a great addition, and the game wouldn't be as exciting as it is without making the player go as fast as they can.
Innovation: Yeah, I'd say this is trying some new things. It's like assembling a puzzle, but there's multiple solutions, and you're looking for the solution worth the most points. I like it.
Theme: It absolutely fits the theme. The moves you are making are specifically centered around the combos of adjacent flags. the gameplay matches the theme very well.
Graphics: I think it's really cool that it looks like every flag was drawn yourself. You definitely could've taken the lazy approach of downloading all the flags from the internet, but you took the time to make your own assets, and i have a lot of respect for that.
Mood: The scribbles on paper drawings of flags make it feel carefree and fun. I don't have much else to add here.
Audio: I think this is the category where it falls the flattest. the music is pretty generic, and the sound effects are a bit bland. That said, it's not really the genre of game where sounds and music are critically important, but they get very repetitive, very fast. I think slowing down the tempo, adding a few more measures, and perhaps some light reverb would make the music sound better. Maybe a subtle beat?
Humor: Not applicable.
Final Thoughts: It's a pretty good game. The method for getting combos is a bit unintuitive, and it could use a built-in tutorial, but once you figure it out it's a lot of fun! Great work.