I've recently replaced the moisture sensors on my Kenmore dryer (110.86983110) in hopes that would solve the issue, but the dial will still not advance when using the Fabric Care Dryness Control feature of the dryer. The dial will advance without issue if there are no clothes in the dryer.

While replacing the moisture sensors, I cleaned out all of the lint I could find inside the dryer as well as the exhaust vent area.

Also, when disconnecting the plug from one of the old moisture sensors, it was difficult to disconnect which was probably due to the age of being connected and may have had some corrosion. I tried to gently scrape the connector plug to clean off any corrosion build-up.

The dryer will heat while in the Automatic Fabric Care mode, but the dial will not advance which means the clothes can/will overheat if left unattended.

What other item(s) should I check/replace in order to get the Fabric Care Dryness Control to function properly?

The connectors on the moisture sensors are very difficult to pull off on alot of models that's normal........if you use liquid fabric softeners or certain detergents they will cover those bars in residue which is common and can cause issues with the timing of your clothes being dried......Rule of thumb while testing moisture sensing cycles turn the unit on with no clothes in it to a moisture sensing cycle and turn it on the unit should shut off within 1o-15 minutes with an empty load unless it's an old dial type timer.........Take a piece of sandpaper or some windex every once in awhile and clean the 2 moisture bars in the machine.....In all honesty those moisture sensing cycles can be a pain personally i stick to the timed dry cycles 50 minutes for full loads should be enough if you have good ventilation and heat and no extra boards or parts for the timed cycles in most cases...........good luck