<record id="stock.action_delivery_orders" model="ir.actions.act_window">

<field name="name">Delivery orders - PT action</field>

<field name="res_model">stock.picking</field>

<field name="type">ir.actions.act_window</field>

<field name="context">{'search_default_all_delivery_orders_pt': True}</field>

</record>

<record id="stock.action_pos_orders" model="ir.actions.act_window">

<field name="name">Point of sale orders - PT action</field>

<field name="res_model">stock.picking</field>

<field name="type">ir.actions.act_window</field>

<field name="context">{'search_default_all_pos_orders_pt': True}</field>

</record>

and add to your 2 actions:

<field name="search_view_id" ref="module_name.id_of_view_search"/>

should be but to verify:

<field name="search_view_id" ref="stock.view_picking_internal_search"/>

Thanks a lot mister Gaspard.

I have found this post : https://www.odoo.com/fr_FR/forum/help-1/question/how-can-i-assgin-two-different-filters-two-same-model-but-with-different-menu-75272

Conclusion : I think we should create filters in the search view and NOT in ir.filters.

CODE :

<record id="stock.view_picking_internal_search" model="ir.ui.view">

<field name="name">stock.picking.internal.search</field>

<field name="model">stock.picking</field>

<field name="arch" type="xml">

<search string="Picking Lists">

<filter string="all_delivery_orders_pt" name="all_delivery_orders_pt" domain="[['company_id', 'ilike', 'Page'], ['name', 'ilike', 'OUT']]"/>

<filter string="all_receipts_pt" name="all_receipts_pt" domain="[['company_id', 'ilike', 'Page'], ['name', 'ilike', 'IN']]"/>

<filter string="all_internal_transfers_pt" name="all_internal_transfers_pt" domain="[['company_id', 'ilike', 'Page'], ['name', 'ilike', 'INT']]"/>

<filter string="all_pos_orders_pt" name="all_pos_orders_pt" domain="[['company_id', 'ilike', 'Page'], ['name', 'ilike', 'PICKPOS']]"/>

<filter string="all_dropship_pt" name="all_dropship_pt" domain="[['company_id', 'ilike', 'Page'], ['name', 'ilike', 'DS']]"/>

<field name="name" string="Picking List" filter_domain="['|',('name','ilike', self),('origin','ilike',self)]"/>

<filter icon="terp-check" name="draft" string="Draft" domain="[('state','=','draft')]" help="Draft Moves"/>

<filter icon="terp-check" name="available" string="Ready" domain="[('state','in',('assigned', 'partially_available'))]" help="Assigned Moves"/>

<filter icon="terp-check" name="waiting" string="Waiting Availability" domain="[('state','=', 'confirmed')]" help="Waiting Moves"/>

<filter icon="terp-camera_test" name="confirmed" string="Confirmed" domain="[('state','in', ('confirmed', 'waiting', 'assigned'))]" help="Confirmed Moves"/>

<filter icon="terp-dialog-close" name="done" string="Done" domain="[('state','=','done')]" help="Pickings already processed"/>

<separator/>

<filter name="late" string="Late" domain="[('min_date','<', time.strftime('%%Y-%%m-%%d %%H:%%M:%%S'))]" help="Pickings that are late on scheduled time"/>

<separator/>

<filter name="backorder" string="Backorders" domain="[('backorder_id','<>', False)]" help="Remaining parts of picking partially processed"/>

<field name="partner_id" filter_domain="[('partner_id','child_of',self)]"/>

<field name="product_id"/>

<field name="picking_type_id"/>

<field name="group_id"/>

<group expand="0" string="Group By">

<filter string="Status" icon="terp-stock_effects-object-colorize" domain="[]" context="{'group_by':'state'}"/>

<filter string="Order Date" icon="terp-go-month" domain="[]" context="{'group_by':'date'}"/>

<filter string="Expected Date" icon="terp-go-month" domain="[]" context="{'group_by':'min_date'}"/>

<filter string="Origin" domain="[]" context="{'group_by':'origin'}"/>

<filter string="Picking Type" domain="[]" context="{'group_by':'picking_type_id'}"/>

<filter string="Procurement Group" domain="[]" context="{'group_by':'group_id'}"/>

</group>

</search>

</field>

</record>