The CPI that is used to index nearly all items like social security DOES include Food and Energy.
The “Core CPI” is only used for discussion, not real policy or adjustments.
Which index is the “Official CPI” reported in the media?
http://www.bls.gov/cpi/cpifaq.htm#Question_13
...while we publish many indexes, our broadest measure of inflation includes all items consumers purchase, including food and energy.
http://www.bls.gov/cpi/cpiadd.htm#2_3
Yes, they include it, but they give them very little weight if in inflation figures.
Nonessential and luxury items should be removed from the CPI, then you would get a better measure of inflation for the majority of consumers.
The Fed does not count food or energy in inflation so it doesn’t matter if they publish it or not. If they used it Retired Veterans would have gotten a Cola increase, if they used it the inflater ben bernanke would have to rethink his devaluation of the dollar and he doesn’t want to do that he wants to prop up the stock market and the member banks.