I understand the meaning of both words, but I can't figure out what the expression means.
Minute Maid® is a brand of frozen orange juice concentrate, from which an orange juice drink can be made by adding water.
From the Minute Maid® web site:
From the city famous for its Minutemen militia, a Boston advertising agency came up with the name “Minute Maid” reflecting the convenience and ease of preparation.
Minute Maid® is a play on the words “made in a minute” or “[in a] minute made”.