The afikoman is not made by any special process, it is simply a piece broken off the middle of three matzahs on the seder table, but the matzah itself is made under a real technical constraint, flour and water mixed and baked within roughly eighteen minutes by tradition, fast enough that the dough has no time to rise, a rule enforced by specialized kosher for Passover bakeries working under rabbinic supervision rather than an ordinary bakery's pace.
Who hides it, and who searches
The seder leader breaks the middle matzah, wraps half, and hides it somewhere in the house, a deliberate game aimed at keeping children engaged through a long ritual meal, and the children search for it later, traditionally negotiating a small reward for returning it, since the seder cannot properly conclude until the afikoman is eaten as the last food of the night.
No disposal question at all
Because the afikoman is eaten by everyone present as the final taste of the meal rather than stored or displayed, there is no retirement, burial or disposal custom attached to it the way there is for a worn prayer book or a damaged mezuzah scroll, its whole existence runs from breaking to hiding to being found and eaten within a single evening.