Is there a shortcode or a function available so that i can show the "forgot password form" on a custom wordpress template? Actually i always have to link to the default lost-password page (/wp-login.php?action=lostpassword) which has the WordPress-Backend styles. I would like to integrate the form in my own template and corportate design
Seems Frontend Reset Password does what you want. Among other features it also provides you a shortcode to be placed anywhere you want. Styling then is up to you and should be done from your custom (child) theme.
If you are just looking for simlple forget password plugin without other fancy code, this plugin is all you need. I created custom login and registration form for one website and was thinking to build custom forget password and came on this plugin. I just installed it, added shortcode on page and boom. Everything what i need is in there. Just for information, plugin setting page is inside plugin menu. you can also go to plugin list and click on setting link on plugin page.