Jurgen Klopp's side will travel to the Wanda Metropolitano, where Liverpool lifted the trophy in June, for the first leg of their tie against three-time runners-up Atletico.
Richardson said on Monday night that his involvement was "a genuine commitment to try and help out" - but SACA said it would not participate unless a previous decision by CSA was formally withdrawn.
I met you often when you were visiting princes
His move brings an end to his five-year spell with Salzburg, whom he joined from Cerezo Osaka in January 2015.
Klopp's squad have little time for celebrations, however, as they return to England to prepare to visit Leicester on Thursday.
European champions Liverpool travel to Madrid in February for the Champions League first leg match and will have noted the commitment inspired by Atletico's feisty Argentine coach Diego Simeone.
Leandro Paredes set the ball rolling in the 10th minute with a deflected strike and once Jean Eudes Aholou was sent off in the 25th minute for a dreadful late tackle on the Argentine PSG could stroll their way to three points.
Sevilla are third on 34 points after their 2-0 win at Real Mallorca.
SACA repeated its call for the board to resign as the rift between players and board showed no signs of being healed, despite the suspension of chief executive Thabang Moroe and the appointment of Jacques Faul as interim chief executive, Graeme Smith as interim director of cricket and Mark Boucher as head coach of the national team.
With a combined age of 103, Nadal, Djokovic and Roger Federer continue to dominate men's tennis and it takes a brave punter to predict their imminent demise.
"Belief is a big thing and eventually you just have to get it done and today was my opportunity."
"We created lots of chances and if we keep going then they'll start going in.
After a seven-match winning streak in the league they have lost four of the last five and suddenly their place in the top four is under threat.