2003 Mitsubishi Montero Sport LS,with 56,000 miles. Live in central Florida,lately weather got very cold and in the morning transmission will not engage,either forward or backing up. I have to wait( 10 minutes) until the engine gets warm,and the will engage with a sudden jump. After awhile transmision will run with no problems.
I think it could be a sensor of some kind that has to reach a certain temperature to allow the transmission to shift.
I appreciate any input with this issue!
Thanks!

 

Have you tried a fluid transfer using MM ATF?

 

How's your fluid level?