It is understood the charges refer to a number of incidents across Derry on Thursday, August 2.
The suspects were arrested following a police pursuit which ended at Chapel Road.
The men are both aged 21.
One of the men is due to appear at Derry Magistrates’ Court sitting in Omagh tomorrow, Saturday, August 4 for a first remand hearing.
The second man will appear at the same court on Wednesday, August 29.
As is normal procedure all charges will be reviewed by the PPS.