autoparodiarse

Used for an artist, brand, franchise, or public figure that mocks or exaggerates its own style, often as a knowing, self-aware joke — common in film and music criticism.

• La saga terminó autoparodiándose en la última entrega. — The saga ended up parodying itself in the last installment.
• El cómico se autoparodia en su nuevo especial. — The comedian parodies himself in his new special.
• Algunas marcas se autoparodian en su publicidad para conectar con el público joven. — Some brands parody themselves in their advertising to connect with younger audiences.

Implies self-awareness — using it for a work that becomes unintentionally ridiculous (without that self-aware wink) is a different criticism, usually phrased as parece una parodia de sí mismo.