Transmission fluid problems: Low or contaminated transmission fluid can cause slipping and other issues, preventing the transmission from engaging properly in reverse. Check the transmission fluid level and condition, and ensure that the correct fluid is being used.
Faulty transmission control module (TCM): The TCM controls the transmission's shifting and operation. A faulty TCM could cause the transmission to malfunction and not engage in reverse. Have the TCM diagnosed by a qualified mechanic.
Mechanical issues: There may be mechanical problems within the transmission itself that prevent it from engaging in reverse. This could include issues with the reverse gear, synchronizers, or other components. A qualified mechanic should inspect the transmission to identify the specific problem.
Faulty wiring or sensors: Electrical issues, such as faulty wiring or sensors, can cause the transmission to malfunction and not engage in reverse. Have a mechanic inspect the electrical system for problems.
Faulty shifter linkage: The shifter linkage connects the gearshift lever to the transmission. If the linkage is damaged or loose, it may prevent the transmission from engaging in reverse. Check the shifter linkage for damage or looseness.