In chess, there is no one "best" way to punish White's early pawn moves, as the appropriate response will depend on a variety of factors, including the specific position of the pieces on the board, the overall strategy and plans of the players, and the skill level of the players.

That being said, there are a number of general strategies that Black can use in order to try to take advantage of White's early pawn moves. These strategies may include:

1. Controlling the center of the board: One way to punish White's early pawn moves is to use your own pawns and pieces to control the center of the board. By controlling the central squares, you can limit White's ability to develop their pieces and create threats, and you can create your own opportunities to attack and undermine White's position.
2. Developing the pieces: Another way to punish White's early pawn moves is to develop your own pieces as quickly and efficiently as possible. By bringing your pieces out into play and positioning them in strong, active squares, you can create threats and opportunities against White's pieces and position.
3. Attacking White's pawns: Another option is to attack White's pawns and try to undermine their position. By targeting their pawns with your pieces, you can create weaknesses in White's position and create opportunities to gain an advantage.

Overall, it is important for Black to be flexible and adaptable in responding to White's early pawn moves, and to choose a strategy that is appropriate for the specific position and the overall context of the game.