To show a sign-up form from the PHP files in your WordPress theme, you can use the mc4wp_show_form() function.

It takes an optional parameter which defines the ID of the form you would like to show. If you omit this parameter, your default form will be shown.

Example: Showing default form

if( function_exists('mc4wp_show_form') ) {
	mc4wp_show_form();
}

Example: Showing form with ID 100

if( function_exists('mc4wp_show_form') ) {
	mc4wp_show_form(100);
}

Ps. Were you looking how to show a form from your pages or posts instead?