The pair were detained on the Limavady Road on Sunday.
They have been released on bail pending further police enquiries.
A further seven people were cautioned for obstructing the highway and disorderly behaviour.
Meanwhile, a group of protestors blocked roads in east Belfast on Sunday following major trouble in the area on Saturday.
A total of 29 police officers were injured when bricks, fireworks and other missiles thrown from the rival crowds and homes in the nationalist Short Strand area were damaged.
Police responded with water cannon and baton round.
Region-wide protests were held on Friday, most concentrated in Belfast and aimed to bring the city to a standstill.
Almost 100 police officers have been injured during the unrest and PSNI have revealed that the first two weeks of policing the disorder alone has cost £4m.
A total of 112 people have been arrested during disorder which has been ongoing since a Belfast City Council vote last month to reduce the number of days the Union flag flies at City Hall.
A total of 85 people have been charged and 19 released on bail, with eight reported to the Public Prosecution Service.
Meanwhile, around a thousand people attended a peace rally at Belfast City Hall on Sunday, making noise and cheering - organisers said they were making noise for the "silent majority" who are opposed to the recent violence and ongoing disruption.