Dagger2 where inject @Named @Provides in dependent module?

Your Retrofit provider should use @Named annotation for OkHttpClient, for example:

@Provides
@Singleton
public Retrofit provideRetrofit(@Named("cached") OkHttpClient okHttpClient)
{
    return new Retrofit.Builder()
            .baseUrl("...")
            .addConverterFactory(GsonConverterFactory.create())
            .client(okHttpClient)
            .build();
}

You have two methods with same name: provideOkHttpClient(). Rename one of them, make them distinct.

If you are using kotlin, the correct way to inject named is next:

@field:[Inject Named("api1")].

Source: https://medium.com/@WindRider/correct-usage-of-dagger-2-named-annotation-in-kotlin-8ab17ced6928