I don't understand how you want to use a year that is 112 days but still use month and day from a year that is 365 days. So I don't understand what you are trying to do with your first formula.

For the second formula, if a "year" is 112 days, and you need a formula for the years and days from a given date, it would be

Formula: copy to clipboard
=INT((TODAY()-N3)/112) &" years and "& MOD(TODAY()-N3,112) &" days"


(By the way thank you for the correct use of the subjunctive mood in your thread title. )