>popup list is still showing the records related to 'Malvinas', expected to show records Like % 'Malvinas'.
You wanted to say: ... expected to show records Like '%United'?
The following code will help you
procedure TMainForm.UniButton2Click(Sender: TObject);
begin
UniComboBox1.Clear;
UniComboBox1.Text:='United';
UniComboBox1RemoteQuery(UniComboBox1.Text,UniComboBox1.Items);
end;