How to redirect my content type form after submitting in module
You can use Node Save Redirect module.


  This module provides a method of specifying a location to take the user after saving a piece of content.
  A set of radios buttons are added to the submission vertical tab on the content type edit form.


The available options are:

Default - Default behaviour

Return to Edit page after saving

Return to content overview page (assuming the user has access permissions

Re-redirect to another location. (any valid drupal path)

Or you may try to add submit function to 'Save' button

function mymodule_form_alter (&amp;$form, &amp;$form_state, $form_id) {
  if ($form_id == 'my_node_form_id') {
    $form['actions']['submit']['#submit'][] = 'mymodule_node_form_redirect_submit';
  } 
}

function mymodule_node_form_redirect_submit ($form, &amp;$form_state) {
  $form_state['redirect'] = 'node/add/article';
}