How I can write data from two different forms to two different databases

It is possible to save data to two different database from two forms.

To save information to different databases you'll need to make two copies of Form Processor Pro.

To modify database settings you need to run Initial Installation Script, it's located at http://yourdomain.com/fpp/install/index.php where youdomain.com - is your domain and fpp - is folder where Form Processor Pro is located.

You need to login there (upper right corner - link 'login') default password is word admin, you'll change it during the script. On third step you'll be able to set database settings, and test connection.

On every copy of the Form Processor Pro you can specify another database through this script and configure 1 form to work with first FPP and 2 form to work with second FPP (with another database settings).