How does the church explain the use or significance of eggs in the christian celebration of Easter?

"Easter Eggs" is a man made tradition. The Church uses a lot of pagan holidays and traditions to please the people for money.

Millions like the commercial Easter. Egg hunts, chicks, bunnies, eating hams, buying Easter clothes especially hats and shoes.  All which has absolutely nothing to do with the REAL meaning and reason of Easter.

https://en.m.wikipedia.org/wiki/Easter_egg

The oldest found decorated egg is 60,000 years old. It is an ostrich egg.

"WIKI-The practice of decorating eggshells is ancient, predating Christian traditions.[8] Ostrich eggs with engraved decoration that are 60,000 years old have been found in Africa.[9] Decorated ostrich eggs, and representations of ostrich eggs in gold and silver, were commonly placed in graves of the ancient Sumerians and Egyptians as early as 5,000 years ago.[10] These may have influenced later customs in Christianity and Islam, according to Nile Green, a historian specializing in Islam in India.[11]"

So.....yup...

Easter eggs

Because the use of eggs was forbidden during Lent, they were brought to the table on Easter Day, coloured red tosymbolize the Easter joy. This custom is found not only in the Latin but also in the Oriental Churches. The symbolicmeaning of a new creation of mankind by Jesus risen from the dead was probably an invention of later times. Thecustom may have its origin in paganism, for a great many pagan customs, celebrating the return of spring, gravitated to Easter. The egg is the emblem of the germinating life of early spring. Easter eggs, the children are told, come fromRome with the bells which on Thursday go to Rome and return Saturday morning. The sponsors in some countries give Easter eggs to their god-children. Coloured eggs are used by children at Easter in a sort of game which consists in testing the strength of the shells (Kraus, Real-Encyklopædie, s.v. Ei). Both coloured and uncoloured eggs are used in some parts of the United States for this game, known as "egg-picking". Another practice is the "egg-rolling" by children on Easter Monday on the lawn of the White House in Washington.

The Easter Rabbit lays the eggs, for which reason they are hidden in a nest or in the garden. The rabbit is a pagan symbol and has always been an emblem of fertility (Simrock, Mythologie, 551).

http://www.newadvent.org/cathen/05224d.htm

It comes from the Pagan religion that was in place prior to the Church deciding it's date of holiday based what the First council of Nicea decided . . . In other words men decided that this date was to be claimed for THEIR religion.

The original Germanic holiday was called Ēostre and the custom of eggs are part of this holiday along with the hares (rabbits, bunnies).

"The heathen Easter had much in common with May-feast and the reception of spring, particularly in matter of bonfires. Then, through long ages there seem to have lingered among the people Easter-games so-called, which the church itself had to tolerate : I allude especially to the custom of Easter eggs, and to the Easter tale which preachers told from the pulpit for the people's amusement, connecting it with Christian reminiscences. The heathen Easter had much in common with May-feast and the reception of spring, particularly in matter of bonfires. Then, through long ages there seem to have lingered among the people Easter-games so-called, which the church itself had to tolerate : I allude especially to the custom of Easter eggs, and to the Easter tale which preachers told from the pulpit for the people's amusement, connecting it with Christian reminiscences" - MORE INFORMATION