create automatically a post with shortcode from custom post?

Hi there,

I ask myself:
Is it possible to generate a post, that includes a shortcode which is generated from a custom post? If this sounds like a cat chasing her tail:

1) I use a plugin, which generates polls. This polls are a custom post type
2) After creating that poll, I have to insert a shortcut in a regularly post or page to see the poll in frontend.

I want to bypass step 2. If I save my poll (custom post) I would like to create a post with the depending shortcut automatically.
Is there a hook(?) I can use?

I hope this makes sens and anyone can point me in a direction.

Best,
mickna