England were 33-30 winners at Twickenham on Saturday, but there were a number of flashpoints throughout the match, with the hosts reduced to 13 men by the final whistle after Ellis Genge went to the sin bin and Manu Tuilagi was sent off.
One incident missed by the officials concerned Jones and prop forward Marler, who appeared to grab at the Wales captain's crotch, though there was no action from the officials.
After the incident was cited for further review, Marler appeared before an independent disciplinary committee in Dublin on Thursday and subsequently received a ban until June 8.
Marler, who did not accept that the incident warranted a red card, has the right to appeal the decision.
Meanwhile, Tuilagi also appeared before the disciplinary committee. The centre likewise did not accept his tackle on George North warranted a red card, but his appeal was rejected and he is suspended for four weeks.
Courtney Lawes was also cited following the match for a dangerous tackle on Jones.
However, the committee agreed that Lawes' tackle, while an act of foul play, was not worthy of a red card.
Photo Getty Images Caption: England's Joe Marler