The think tank will include FA chairman Greg Dyke, former England manager Glenn Hoddle, plus Football League chairman Greg Clarke and FA vice-chairman Roger Burden.
League Managers' Association chairman Howard Wilkinson also features, along with new Professional Football Association chairman Ritchie Humphreys, Crewe director of football Dario Gradi and former England defender Danny Mills.
Lineker indicated on Friday he believes Dyke has made poor appointments.
Match of the Day presenter Lineker said on Twitter: "No wonder they announced Glenn Hoddle early on @FA commission. Most of the others are utterly pointless. Expected better from Greg Dyke."
Lineker agreed with a response from Daily Telegraph reporter Paul Hayward that the commission was made up of bureaucrats.
Hayward wrote: "Hoped it was going to be a national football study, not bureaucrats reviewing the bureaucracy."
Lineker added: "Exactly!"
And after former Manchester City favourite Francis Lee replied to say the process "looks like a complete waste of time", Lineker described it as "a real missed opportunity".
It is not the first time Lineker has taken issue with progress at the heart of the English game, with the man who scored 48 goals for England being critical of the performance of the national team in last month's goalless draw against Ukraine.
In a series of Tweets, Lineker condemned England's inability to retain possession, at one point describing the team's display as "awful", although he did delete that observation.
England manager Roy Hodgson said it was not a fair criticism, although he and Lineker have since appeared together on Match of the Day, indicating they have resolved their differences.
Former England defender Sol Campbell has questioned the make-up of the FA commission, believing it should be more ethnically diverse.
"I wouldn't mind if they had some black players in there, black players who have actually done something for club and country," Campbell told BBC Sport.