Red Bull has dominated F1 since 2010, with Germany's Sebastian Vettel claiming a hat-trick of world titles with the team taking the constructors' titles to back him up.
"We remain encouraged by the new rules which have the potential for a team to be commercially viable and competitive on a far more realistic budget, " said Richards, who has expressed an interest in entering F1 in 2010.
The Romanian joined the Spanish outfit for their F1 debut in 2010, but has seen the team fail to register a point in the either of the last two seasons.
However, the FIA added that drivers managed by Briatore would be granted 2010 F1 licences, which will be a relief to Red Bull's Mark Webber, a two-time race-winner in 2009.
The 24-year-old, who becomes the third British driver on the grid alongside McLaren duo Lewis Hamilton and Jenson Button, made a solid start to his first full season in F1, testing the 2010 car in Valencia last week.
The FIA has given Mosley the power to negotiate directly with the Formula One Teams Association over proposed measures to cut F1 team costs in half by 2010.
Red Bull's Sebastian Vettel won the drivers' title in 2010, becoming the youngest champion in F1 history, while the team also took the constructors' championships.
In 2009 Mr Ecclestone announced there was no plan for F1 to return to the US. But in May 2010 the race was awarded to Austin, with Mr Ecclestone and race promoter Tavo Hellmund agreeing a deal.
Stefan GP are reported to have acquired the cars designed for 2010 by the former Toyota team before the Japanese manufacturer quit F1 at the end of last season.
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The row dates back to 2009, when Fernandes was granted by Group Lotus the rights to use the Lotus name in F1 for a new team he was setting up to race in the 2010 season.
Their preparations for 2010 have also seen them make a high-profile signing, handing an F1 debut to Bruno Senna, nephew of the late triple world champion Ayrton.
"It's fantastic to be back with the Marussia F1 Team and with pretty much the same group of people I worked with back in 2010 when I was reserve driver, " Razia told the Marussia website.
Toyota's recent withdrawal from F1 had opened the door for the team to take up the 13th slot on the grid for 2010.
The London club - backed by F1 multi-millionaires Bernie Ecclestone and Flavio Briatore - have targeted a return to the Premier League by 2010.
Kubica was considered one of the most promising drivers in F1 before his crash, winning the 2008 Canadian Grand Prix with Sauber before switching to Lotus Renault for the 2010 season.
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