How to clean up all the register that I have in my database related to the Product Recommendation logs?
Is it something that I can do from my side?
Yes, you can clean up the registers from your side.
Executing the following DB commands, you'll delete some temporary tables that are used to export data to Adobe's service:
truncate table catalog_data_exporter_products;
truncate table catalog_data_submitted_hash;
delete from flag where flag_code = 'products-feed-version';
You can then watch those tables repopulate with newly submitted data.