A search warrant is a type of court order signed by a magistrate or a judge with proper jurisdictional authority. The warrant should bear the name of the person whose premises/home is to be searched. In addition, it should list the address of the home/premises to be searched, a description of the premises or area to be searched, and a list of items that are to be seized.
If you believe the warrant is not valid (or does not contain the proper address or description of items to be seized), then you can tell the police officers conducting the search the warrant is not valid, and then make clear you are not giving your consent to search. The police may enter and search anyway, still object verbally and make clear you do not consent. In this situation, you can record the search conducted on your phone, but note you must not attempt to stop the police or interfere with the search in anyway. If it is construed that you are doing so, you may have arrested for interfering with an investigation of a police officer in the course of his duties, obstruction of justice, etc. It is better to wait, object to any consent verbally, and let your attorney contest the legality of the search warrant in court.