Ashley Foster, who is from High Green, and Jonathan Bowling, who is from the Fox Hill area of north Sheffield, were both arrested earlier this week.
They will remain in police custody until they appear in court in the morning.
Grandfather Mr Greaves, 68, was a lay preacher and his death shocked the community where he lived.
He lived just a few hundred yards from where he was attacked.
After the incident he was taken to hospital with severe injuries to his head but did not survive.
More than 50 police officers were drafted into the inquiry and detectives made a series of appeals for help from the community.
More top news
There will be a three-way split across the UK this afternoon, weather-wise.
Nigel Farage has been forced again to field questions about his party's members on the day he wanted to be discussing a new election pledge.
Following Bradford City downing Premier League leaders Chelsea on Saturday, we take a look at the greatest FA Cup upsets.