Some metals react very easily when placed in orange juice (or other acid solution); others not so easily. In fact, zinc is more reactive than copper, so that there are more electrons on the zinc plate than on the copper plate. If the two plates are now connected with a metal wire, electrons will travel along the wire from the zinc to the copper - an electric current flows!
As the current flows, more zinc atoms go into the juice and maintain the imbalance of electrons on the plates so the zinc plate is gradually being eaten away. As electrons arrive at the copper plate, they combine with the charged hydrogen atoms of the acid and produce bubbles of hydrogen gas.
Any pair of metals separated by any liquid which conducts electricity will behave as a battery. Strictly, we should call a pair of different metal plates with liquid between them a cell; it becomes a battery of cells when there are several cells connected together. The first battery ever made used silver and zinc discs separated by salty water!
Most combinations of metals and liquids are not very good because they foul up chemically very soon and stop producing an electric current. In early batteries, someone often had to scrub the metal plates to remove hydrogen bubbles, etc. to keep the battery working! Good batteries these days are carefully engineered chemically to solve the problem.
The copper, zinc, orange juice cell is not very good for long periods of use. However, the flushing action each time the plates are lifted out of the juice prevents it fouling up with bubbles of hydrogen.