Richardson and Barnett may also be questioned by police if Macclesfield's Martin McDonald takes further action after being kicked on the ground in a bad tempered match.
Richardson was dismissed for violent conduct after he swung his left foot into McDonald in an incident spotted by the officials. Barnett was also caught on video stamping on the back of McDonald's head as he lay on the turf following a goalmouth melee.
Sammy McIlroy, the Macclesfield manager, described Richardson's action as "the most disgusting incident I have ever seen" and earlier yesterday Lincoln handed their goalkeeper "the heaviest possible fine".
Macclesfield's Ben Sedgemoor was also sent off as he tried to intervene and, after receiving the report of referee Eddie Lomas, the FA now wants to investigate further.
An FA spokesman said: "The referee's report has reached us and has been studied. We now will ask Macclesfield to send us a copy of the match video before we decide if there is any further action needed."
Richardson could face a disrepute charge that would mean any further suspension being carried over into next season. He already has a three- match ban which means that he will miss Lincoln's final three games after Easter.Reuse content