Rondo was fined for "unsportsmanlike physical contact" with Dennis Schroder after aiming a kick at the Thunder guard's groin and for verbal abuse of a game official, and failing to leave the court in a timely manner upon his ejection," NBA vice president Kiki VanDeWeghe said.
Rondo was charged with a flagrant-2 foul against Schroder and tossed in the fourth quarter. The two had exchanged words earlier in an incident that saw both assessed technical fouls.
Beverley was adjudged to have flopped -- falling or stumbling over in an attempt to draw a foul despite minimal physical contact -- as he guarded James Harden early in the first quarter of Friday's clash.
It is the second time this season Beverley has been found in violation of the NBA's anti-flopping rules, triggering an automatic $5,000 fine.
Beverley had earlier been warned about play-acting in Wednesday's win over the Boston Celtics.
In that game Beverley collapsed to the court after Celtics ace Jayson Tatum brushed against him as he attempted a three-pointer.