Two examples to add a reset password link in Caldera Forms, first uses main mailer, second sends an independant email

CF-reset-password-link-independant.php

/*
 *
 * Sends and independant email with a reset password link
 *
 */
add_action( 'caldera_forms_do_mailer', function( $mail, $data, $form ) {

	if( 'CF5e85b15e45b2a' == $form[ 'ID' ] ) { // Use you own Form ID instead of CF5e85b15e45b2a
		
		$user_email = $data['fld_6009157']; // Use the ID of the email field that defines the user instead of fld_6009157
		$user = get_user_by( 'email', $user_email );

		if(!$user){
			return;
		}

		$username = $user->user_login;
		$key = get_password_reset_key( $user );

		$reset_link = wp_login_url() . '?action=rp&key=' . $key . '&login=' . $username;

		$message = '<h2>' . __('Proceed to reset password : ', 'my_slug') . '</h2><br />' .
		__('Reset your password link : ', 'my_slug') . 
		'<a href="'. esc_url( $reset_link ) . '" title="' . __('Reset your password link : ', 'my_slug') .'" >' . 
		esc_url( $reset_link ) . '</a>';

		wp_mail( $user_email, $mail['subject'], stripslashes( $message ), "Content-Type: text/html; charset=UTF-8" );

	}

}, 10, 3 );

CF-reset-password-link.php

/*
 *
 * Adds a reset password link to Caldera Forms main mailer
 * Make sure to use main mailer to send to the same email field used to define the user
 *
 */
add_filter( 'caldera_forms_mailer', function( $mail, $data, $form ) {
	
	if( 'CF5e85b15e45b2a' == $form[ 'ID' ] ) { // Use you own Form ID instead of CF5e85b15e45b2a
		
		$user_email = $data['fld_6009157']; // Use the ID of the email field that defines the user instead of fld_6009157
		$user = get_user_by( 'email', $user_email );
		$username = $user->user_login;
		$key = get_password_reset_key( $user );

		$reset_link = wp_login_url() . '?action=rp&key=' . $key . '&login=' . $username;

		$mail['message'] .= __('Reset your password link : ', 'my_slug') . esc_url( $reset_link ); // Use your own slug instead of my_slug

	}
	return $mail;

  }, 10, 3 );