For physical games, you can:
Take a photo of the final score or board state (like showing the final chess position)
Record a video of the final moments (like recording the last few moves)
Have a witness confirm the result (someone else who saw the game can verify who won)
Use the game's built-in scoring if available (like a digital scoreboard or app that tracks the game)
The key is having clear evidence that both players can see and agree on!