The russian writer of plays and short stories anton chekhov is best known for his plays the seagull. или а russian writer of the plays and short stories anton chekhov is best known for his plays the seagull.

The Russian writer of plays and short stories Anton Chekhov is best known for his plays The Seagull.

Лично мне так кажется правильней звучит. Так как в словах "the plays" -нам не говорится об определённых пьесах, тоесть "the" - лишнее, Извиняюсь, если ошибаюсь