Problem shifting into reverse with AX-15 manual transmission on Jeep Wrangler

Due to the design of the reverse gear system in the AX-15 manual transmission, it may block shifting into reverse one out of every ten attempts. An updated reverse gear is available if the concern becomes more frequent.
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Average mileage: 88,250 (15,000–150,000)
Drive Train affected: Manual Transmission
7 model years affected: 1990, 1991, 1992, 1993, more1999, 2002, 2005
9 people reported this problem
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Viewing 1 - 4 of 4 problem details
Problems shifting into reverse. Sometimes I can feel that reverse has not engaged and other times not until I step on the gas and go nowhere do I know. This occurs intermittently about 10 times a year. When this happens, I put it into first and roll forward a bit then back into reverse with successful engagement. I bought the car with approximately 20,000 miles and it now has approximately 50,000. The issue does not seem to be occuring with increasing frequency.
1999 Jeep Wrangler - Manual Transmission 123,000 mi,
vehicle shifts great when cold. when the vehicle is warm, forward gear shifting gets hard. Shifting into reverse, when warm, is impossible unless the vehicle is turned off. The clutch, pressure plate, throw out bearing, master and slave cylinder were also changed. As of this date, the problem is unsolved and two separate mechanics can't find the problem
2002 Jeep Wrangler - Manual Transmission 150,000 mi,
Hard to get into reverse
2005 Jeep Wrangler - Manual Transmission 15,000 mi,
hard to get in reverse and then pops out all the time