Method: add_form_entries()

add_form_entries.php

<?php

$form_id = 7;
$entry_meta= array(
            array(
                'name' => 'text-1',
                'value' => 'Text Input Value'
            ),
            array(
                'name' => 'email-1',
                'value' => 'my@email.com'
            )
        );

Forminator_API::add_form_entries( $form_id, $entry_meta );