Have a 1256315 Kohler Touchless Flush toilet. Inserted new batteries and now it does not flush. Checked everything, wire is not bent or jammed and batteries are inserted correctly. Help!!!

SOURCE: Kohler Cimmaron Toilet Flush

You might want to check the flush cylinder, to see if it has water in it. It has to be water free, that way the air in it, lets it go down easier, during fill up.

SOURCE: Kohler 81100 Pressure-Clean Flushometer Toilet

This type of flush system can be re presurised quickly by holding down the flush handle for about good 2 minutes, then release , wait for the tank to be refilled with water.
Now you can flush away your inner rotting mess down tube good-by...

SOURCE: Push Button - Have to Hold Down Button

I had the same problem. The fix cost me 50 cents (literally). I just placed a quarter on top of the Blue and White flush buttons (not sure of the technical terms) inside the tank and now it flushes properly. It seems that the 2 plastic poles the extend from the faux chrome buttons are just a bit too short.
Hope this helps

SOURCE: Kohler Cimarron elongated comfort height toilet not flushing correctly

low water in the bowl is only caused by the float being to high! the gurgles is Usually because of air coming back up through the pipe, check your vent pipe that come out the roof. this will help the draining.

SOURCE: Kohler Toilet year old do not have flapper. It has stright pipe

This is how it is meant to work!
Short push of lever for small flush, push and hold lever for full flush.