The men, who are 18 and 19 years old, alledgedly used a knife to attack a victim at a home in the town last Wednesday afternoon.
Police say the victim was uninjured by the duo, who were traced and charged with assisting arrest, assautling police by headbutting, being racially abusive and claiming to have coronavirus.
The pair appeared at Falkirk Sheriff Court last Thursday and were remanded in custody.