1. A memory management method for a rewritable non-volatile memory module, wherein the rewritable non-volatile memory module comprises a plurality of physical erasing units, wherein each of the plurality of physical erasing units has a plurality of physical programming units, wherein the plurality of physical programming units are mapping to a plurality of logical units, the memory management method comprising: receiving an adjust command from a host system, wherein the adjust command is configured to indicate that data stored in at least one logical unit among the plurality of logical units is invalid; updating a logical address status table according to the adjust command, wherein the logical address status table is configured to reflect a data status of the data stored in each of the plurality of logical units, wherein the data status comprises a first state or a second state; updating a physical address status table according to a comparison result of the logical address status table and the physical address status table if a predetermined condition is met, wherein the physical address status table is configured to reflect the data status of data stored in each of a plurality of physical programming units corresponding to the physical address status table among the plurality of physical programming units, wherein the step of updating the physical address status table according to the comparison result of the logical address status table and the physical address status table if the predetermined condition is met comprises: selecting a first physical address having the first state as the data status from a plurality of physical addresses reflected by the physical address status table according to the physical address status table if the predetermined condition is met; and determining whether the data status corresponding to the first physical address in the physical address status table needs to be updated according to the first physical address; and performing erasing to at least one invalid data according to the updated physical address status table.