Data is being transferred, but there are a lot of errors in your integration.
I bypassed some of them (regarding the transfer of categories), but when transferring products (you probably want to transfer by variations), we get errors:
array
(
[code] => woocommerce_rest_product_variation_invalid_parent
[message] => Cannot set attributes due to invalid parent product.
[data] => array
(
[status] => 404
)
)
Most of all, you don’t have the necessary filter options for the parent product, and you are trying to supposedly pass a variation on some specific filter option.
I recommend you contact integrators
https://crm-onebox.com/en/partner/search/?tags[]=%D0%A1%D0%B8%D1%81%D1%82%D0%B5%... BC%D0%BD%D1%8B%D0%B9%20%D0%B8%D0%BD%D1%82%D0%B5%D0%B3%D1%80%D0%B0%D1%82%D0% BE%D1%80%20OneBox , they have experience setting up WordPress integrations by variation.