<?xml version="1.0"?>
<config xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:noNamespaceSchemaLocation="urn:magento:framework:Module/etc/module.xsd">
    <module name="Vendor_Module" setup_version="2.1.0">
        <sequence>
            <module name="Magento_Review"/>
        </sequence>
    </module>
</config>

<?xml version="1.0"?>
<config xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:noNamespaceSchemaLocation="urn:magento:framework:ObjectManager/etc/config.xsd">
    <preference for="MagentoReportsBlockAdminhtmlReviewCustomer" type="VendorModuleBlockAdminhtmlReviewCustomer" />
    <preference for="MagentoReportsModelResourceModelReviewCustomerCollection" type="VendorModuleModelResourceModelReviewCustomerCollection" />
</config>

<?php

namespace VendorModuleBlockAdminhtmlReview;

class Customer extends MagentoReportsBlockAdminhtmlReviewCustomer
{
    protected function _prepareLayout()
    {
        parent::_prepareLayout();

        $customerNameColumn = $this->getChildBlock('grid')
            ->getChildBlock('grid.columnSet')
            ->getChildBlock('customer_name');
        $customerNameColumn->setFilterIndex([
            'customer.firstname',
            'customer.lastname'
        ]);

        return $this;
    }
}

<?php
namespace VendorModuleModelResourceModelReviewCustomer;

class Collection extends MagentoReportsModelResourceModelReviewCustomerCollection
{
    public function addFieldToFilter($field, $condition = null)
    {
        if (is_array($field) && array_key_exists('like', $condition)) {
            $condition = array_fill(0, count($field), $condition);
        }

        return parent::addFieldToFilter($field, $condition);
    }
}