由于删除了答案，完成的机制如下所示：

class MyClass<T>(private val viewModelPayments: PaymentsViewModel, val fragment: T) where T : Fragment, T : Featured {

    init {
        fragment.doOnActivityCreated(::onActivityCreated)
        fragment.doOnActivityResult(::onActivityResult)
    }

    private fun onActivityCreated(savedInstanceState: Bundle?) {
        //...
    }

    private fun onActivityResult(requestCode: Int, resultCode: Int, data: Intent?) { 
        //...
    }
}

interface Featured {
    fun doOnActivityCreated(action: (savedInstanceState: Bundle?) -> Unit)
    fun doOnActivityResult(action: (requestCode: Int, resultCode: Int, data: Intent?) -> Unit)
}

abstract class FeatureFragment : BaseFragment(), Featured {
    private var onActivityCreatedAction: ((savedInstanceState: Bundle?) -> Unit)? = null
    private var onActivityResultAction: ((requestCode: Int, resultCode: Int, data: Intent?) -> Unit)? = null

    override fun doOnActivityCreated(action: (savedInstanceState: Bundle?) -> Unit) {
        onActivityCreatedAction = action
    }

    override fun onActivityCreated(savedInstanceState: Bundle?) {
        super.onActivityCreated(savedInstanceState)
        onActivityCreatedAction?.invoke(savedInstanceState)
    }

    override fun doOnActivityResult(action: (requestCode: Int, resultCode: Int, data: Intent?) -> Unit) {
        onActivityResultAction = action
    }

    override fun onActivityResult(requestCode: Int, resultCode: Int, data: Intent?) {
        super.onActivityResult(requestCode, resultCode, data)
        onActivityResultAction?.invoke(requestCode, resultCode, data)
    }
}