When playing this game, I have scored 423 points only to run out of moves, but it won’t recognize that I’m out of moves and there is no way to end the game and save your score. I have literally tried every combination on the board and nothing works. The only option is to hit the “back” button and leave the game without saving my score. It’s very annoying.

so the way you end the game when you run out of moves is you tap on the X button on the top right corner. is the X not visible to you?

I have the same problem, when you tap the X it doesn't save your score and you don't get any points. Same result as going back.