No specific nickname I’m aware of.
I suspect in most cases, adoptive/foster parents are called maman/papa if they agree/encourage it or are just called by their first names.
Invented nicknames like the one you heard are of course also possible, e.g.:
mamoute / papoute
mamoune / papoune
mamounette / papounet
mamouche / papouche
mamanou / papanou
…
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