Former Blackburn midfielder Linganzi signed on a free transfer until the end of the season following a successful trial period with the Reds.
Richardson has no new injury worries, with goalkeeper Ian Dunbavin (shoulder) and forward Craig Lindfield (ankle) remaining on the sidelines.
Charlie Barnett serves the final game of a three-match ban.
Stanley are without a win in six matches since the 1-0 victory over Chesterfield on New Year's Day, their only win in the last 14 league games.
Aldershot's midweek win over Torquay dropped them into the relegation zone but defender Peter Murphy insists his team-mates must not fret about the league table.
He told the Lancashire Telegraph: "As much as you do look at the table and you're worried that you are down there, you can't do that. You've just got to look at winning the games to get yourselves out of it. There's only us that can do that."