A secondary wrapper covering an item within a package.(noun)
To wrap in a secondary wrapper.(verb)
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Use "overwrap" in a sentence
"Dear Heloise: When we go out to eat Chinese food and bring home leftovers, the food makes the whole refrigerator smell of garlic, no matter how I overwrap it."
"An outstanding option immediately came to mind - a card and shrink film overwrap design, which we have been promoting as a blister and clamshell replacement."
"(Make Ahead: Wrap layers separately in plastic wrap and refrigerate for up to 1 day or overwrap with heavy-duty foil and freeze for up to 2 weeks.)"