Lennon has been accused of breaking the terms of his three-match suspension by being in the "playing zone" within 15 minutes of the final whistle of Celtic's 3-1 defeat by Motherwell on Sunday.
Shiels, who has been involved in a public row with Lennon over the PFA Scotland player of the year shortlist, has been accused of breaking two rules over comments he made in a media interview this week. Kilmarnock have also been hit with a charge relating to Shiels allegedly failing to comply with judicial panel protocol.
Source: PA
Source: PA