Green faces a charge of bringing the game into disrepute for claiming "bigotry" was one of the reasons behind his club being denied entry to the Scottish Premier League.
McCoist has allegedly breached disciplinary rules as a result of comments he made about the SFA's Judicial Panel in April, when he demanded the panel members be named publicly.
Rangers and McCoist have until August 17 to respond, with a principal hearing date of August 30 set for both cases to be heard.
The charge against Green relates to a breach of the SFA's Articles of Association "insofar as...Charles Green brought the game into disrepute and did not act in the best interests of football by not behaving towards other members with the utmost good faith, all by making comments in a media interview which suggested that decisions taken concerning the future of Rangers FC were motivated, in part, by bigotry."
The former Sheffield United chief executive made the comments in an interview at Glebe Park ahead of Rangers' Ramsdens Cup tie against Brechin on July 29.
Green told BBC Scotland: "Some of it has been driven by bigotry, some of it's been driven by jealousy and some of it's been driven by all the wrong motives."
Green's Sevco consortium purchased the assets and business of Rangers when the club were consigned to liquidation over the summer.
SPL clubs then voted against the newco being admitted to Scottish football's top flight before Scottish Football League sides voted in favour of Rangers playing in the Third Division, with their first game taking place at Peterhead on Saturday.
Earlier on Friday McCoist said that he, along with Green and the rest of the Ibrox board, are now in a position to move Rangers in the right direction again.
He said: "It goes without saying that the club means everything to me, like it does for thousands of other people.
"My concern was the uncertainty of where we were going to be, who was going to take us forward, what the plans were for the future.
"We are in a far, far better place today than we have been for a number of months.
"Thanks to Charles and the board, I've been involved in a lot of the meetings and they have kept me up to speed.
"I've been to a lot of meetings, quite frankly, that managers normally wouldn't go to.
"For that, I'm very thankful because I felt my experience within the club should have been represented and it was. I now feel we are in a position to move forward.
"I've had numerous meetings with the board, Charles and the chairman Malcolm Murray, and I'm really confident that we're singing from the same hymn sheet in terms of taking the club forward in the right direction."
SPL clubs voted against newco Rangers' application for entry to the top-flight in the summer and McCoist is now relishing the prospect of the coming season in the Scottish Football League.
He said: "I've sensed a complete difference in atmosphere and feeling.
"The SPL clubs voted us out of the SPL, which they were absolutely entitled to do.
"Then we got the opposite effect in the SFL and they overwhelmingly welcomed us into the league and for that we are eternally grateful.
"We must now show the SFL respect and thanks by making new friends and embracing the league, which we will do."
On tomorrow's game, he added: "It's massive in the respect that we're off and running again and where we want to be in terms of playing football.
"There is a feelgood factor now because we know where we are, we know what we're faced with and we know what we have to do.
"The club has been through the mill over the last 10 months and it's been really tough but we've come through it at this moment in time.
"We are extremely positive and upbeat about the whole thing.
"It's a massive day for everybody involved with the club and I just hope we go up there and make new friends and do ourselves justice and win the game."
