Dodge neon wont go in reverse?

If its an automatic, soft seal for reverse gear is likely shot. Next you'll loose your forward gears one at a time. If its a manuel you likely have a damaged shift cable or the transaxle mount is no longer in existance.

Or the reverse switch/sensor on the tranny is bad.

The problem in most of  such cases is  incorrectly adjusted or loose gearshift cable.

Follow the cable from the gearshift mechanism to the point where it attaches to the transmission, you will probably find that the cable is loose on the transmission and sliding back and forth somewhat when you shift gears. This will cause the cable to be out of adjustment . When your gearshift is in the R position, the arm on the transmission that the cable attaches to is actually in the "D" position, because of the cable not moving it far enough.

Place the gearshift in P and then place the transmission lever in park position; then tighten down the cable or replace whatever parts are broken and allowing the cable to become out of adjustment.

If the transmission is moving incorrectly for the gearshift position indicated, all that it can be is either a loose cable or an internal valve body problem.I am assuming it is a cable related problem, since when a valve body fault develops it rarely goes away. If the cable is not loose, then the valve body in the transmission will likely need to be removed and either repaired or replaced (this repair is better left to a profesional transmission specialist).

This details will help.

Thanks.

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