Invoices without lineitems/products

Invoices without lineitems/products

Hi there, 
I've just started developing with the rest api and I am very confused. Based on the api documentation, "Invoices" should be useable module name. however it is not. response is always invalid module name.

 via Meta Data Api i figured out, that the invoice module uses the api name CustomModule5001. Which is very confusing, but if I need to guess, I'd think it is because of the zohoBooks integration.
The real issue is, that I cant find any way to create an invoice with items/products.
According to that page:
https://www.zoho.com/crm/developer/docs/api/modules-fields.html#Invoices
there should be a lookup field "Product Name" but it's not. Further if I just get a Invoice record, even this record is without product details/line items. (see json response attached).

Is this a bug or is there a workaround? I need to create a new contact in ZohoCRM and create immediately after a invoice for that client (in ZohoBooks). As synchronization between both takes ages, I think I cant use the zohoBooks api. Any recommendations?