You have to do a workaround to achieve it....

product_id is present in Order lines, so if you want to make it available for Searching in Order object (parent).. you can achieve it using functional field and its search function...

In Order : add a functional field, and in _fnct_search, you write a logic to search through lines and fetch the parent ids...

We can add filter domains.

<record id="search_view" model="ir.ui.view">
            <field name="name">name</field>
            <field name="model">sale.order</field>
            <field name="arch" type="xml">
                <search string="Search">

                       <!--Add this filter domain -->
                       <field name="order_line" filter_domain="[('order_line.product_id.name','ilike',self)]" string="Products"/>
                       <group expand="0" string="Group By...">
                       </group>
                </search>
            </field>
        </record>