How to use two different image styles on teaser?
You can use Entity View Modes

It will give you the chance to set up a new view mode and change it from Manage Display page.
You can create 2 view modes, one for Sticky e one for Recipes of the day.
From views page, open the sticky display, click on "Show -> Content > YOUR_VIEW_MODE" and repeat it for the Recipes of the day display/view.

In the manage display page you can set up the image style for the View Mode.