It was a 16 square playing board. Each piece was a clear rectangle 1 wide, 2 tall. Each piece had a red and yellow ball in the center encased in a transparent box. The object was to get 4 in a row. Everytime you played a piece, you also laid one down for your opponent.
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It sounds like a Cube Fusion variant.
As far as I know the board is 5x5, although there are rules for 4x4. Picture is of Double Decker, one of the repackagings of this game: