First of all, you have to determine whether the company you want to claim is a manufacturer, a distributor or a store.
Second: you should collect evidence. First of all, the evidence of illegal advertising. CCTV news alone is not enough to show that this advertisement is illegal. You should have specific evidence of illegality. Secondly, it is your invoice, which proves that your goods have a commercial relationship with the company before you can claim.
Third: determine the specific amount you want to claim, just products or other injuries.
Fourth: just organize it into materials and go directly to the unit you want to claim.
Fifthly, if the other party does not cooperate, it can ask 123 15 for help (goods only) or seek legal aid and lawyers (other damages).
Anyway, just be careful in the future.