The pair, aged 21 and 28, were arrested yesterday for alleged offensive behaviour at Monday’s game, police said.
The development came as officers said that further arrests could be expected.
The Glasgow Cup under-17s fixture at Firhill Park, the home of Partick Thistle FC, was the first meeting of the Old Firm duo since Rangers were relegated to the Third Division.
Kick-off was reportedly delayed as supporters set off flares and smoke bombs and damaged seats in the stands. Fans also reportedly invaded the pitch at the match, which was attended by about 6,000 people.
The latest arrests were made by officers from Scotland’s football co-ordination unit.
The 21-year-old was arrested at an address in Thornliebank, East Renfrewshire, while the older man was arrested at an address in Erskine, Renfrewshire.
A report will be sent to the procurator fiscal. It is understood that both men were released on an undertaking to appear at court at a future date.
Police Scotland previously revealed that three arrests were made at the match, which Rangers won 3-2.
Two 17-year-old boys were arrested inside the ground over an alleged pitch invasion and a 19-year-old man was arrested outside the stadium in connection with a minor assault.
Chief Superintendent Andy Bates, local police commander for Greater Glasgow, said today: “We are continuing to investigate the circumstances of the disturbance. Officers are still reviewing CCTV and it is anticipated there will be more arrests.”