Does housework burn calories, if so how do you track?

I would never add extra for housework. I consider it a nice bonus.

Activity is activity. So...it all “counts”. How it fits into your overall routine is the tricky part.

How much “extra” housework represents depends on number of factors:
*intensity of effort
*continuity of effort
*how different is this from your regular routine
*how much does doing the housework affect your activity for the rest of the day; or the next day

As human beings we tend to focus on what we perceive is positive for us and conveniently ignore everything else.
So you can look up a table and say “wow, this says I burned 500 calories for 4 hours of cleaning”. What the table doesn’t tell you is:

You would have burned at least 30% of that amount just sitting in a chair for 4 hours
The number itself is probably based on continuous movement, not the intermittent way most people move
You offset a lot of that number if, because of the fatigue from cleaning, you do more sitting around the rest of the day.
That number may be making up for a less active day you had yesterday, or a less active day you may have tomorrow.

Physical cues such as sweating, fatigue, muscle soreness, and even some increase in breathing are not reliable indicators of effort in this case.

So, overall, the “extra calories” are usually far less than most people think and, given the longer-term context of a few days or week, might not represent any real extra effort at all.

If someone was using an activity tracker, and you found that every day was consistent and this day represented 500 extra calories than usual, that might be different. But probably still not that significant.

Bottom line: if it is a lot of extra effort, and it makes you feel hungrier, then eat a little more than day. Personally, I don’t think it’s work all the extra effort to try to track precisely.