[UPDATE]UPDATE

odex25_sales/dev_membership/models/res_partner.py

@@ -18,6 +18,8 @@ class PartnerExtended(models.Model):
     is_member = fields.Boolean(string='Is Member')
     membership_count = fields.Integer(string="Membership Count", compute="_get_membership_count")
     active_membership_id = fields.Many2one('dev.membership', string='Membership', compute='check_active_membership')
+    state = fields.Selection(related='active_membership_id.state',store=True)
+
     nationality_id = fields.Many2one('res.country', string="Nationality")
     is_membership_expire = fields.Boolean('Expire Membership', compute='check_active_membership')
     memebership_status = fields.Char('Membership Status', compute='check_memebership_status')

odex25_sales/dev_membership/views/partner_extended.xml

@@ -152,6 +152,7 @@
     <xpath expr="//field[@name='vat']" position="before">
         <field name="nationality_id"/>
         <field name="birth_date"/>
+        <field name="state"/>
         <field name="age"/>
     </xpath>
     <xpath expr="//field[@name='function']" position="after">
@@ -202,7 +203,7 @@
         <field name="identification_number"/>
         <filter string="Archived" name="archived" domain="[('active', '=', False)]"/>
         <filter string="Expired Membership" name="membership_end_date"
-                domain="[('memebership_end_date', '&lt;=',context_today().strftime('%Y-%m-%d'))]"/>
+                domain="['|',('state', '=', 'expire'),('memebership_end_date', '&lt;=',context_today().strftime('%Y-%m-%d'))]"/>
         <group string="Group By">
             <filter string="Membership Type" name="product_id" context="{'group_by': 'product_id'}"/>
             <filter string="Branch" name="branch_id" context="{'group_by': 'branch_id'}"/>