Bent shift linkage: The shift linkage is the mechanism that connects the gearshift lever to the transmission. If this linkage is bent or misaligned, it can prevent the gears from engaging fully, causing the car to pop out of gear.
Damaged transmission mounts: Transmission mounts are rubber isolators that absorb vibration from the transmission. Over time, these mounts can become brittle and break, causing the transmission to shift excessively. This excessive movement can cause the gears to pop out of gear.
Low transmission fluid: Low transmission fluid can cause the gears to grind and pop out of gear. Check the transmission fluid level and top it off if necessary.
Faulty shift cable: The shift cable is the part of the shifter assembly that connects the shifter lever to the transmission. If the shift cable is faulty, it can cause the shifter to feel sloppy and may cause the car to pop out of gear.