Please help with calorie input in MFP vs calorie adjustment

Hi all,
Just thought I could get some help in figuring out this whole calorie adjustments thing. I use my polar heart rate monitor when I run and I usually input the calories from that after my exercise but I always see a calorie adjustment on my fitness pale aswell.

Example. 1 hour of jogging my HRM says I burned 500 calories
but in my fitness pal there is an 182 calorie adjustment for 6,164 steps taken.
Am I still supposed to log my calories in my fitness pal after I work out or not? Please help!

Also am I supposed to be eating those calories back that I burned because that number makes my total calories I have burned go up for my food consumption.