The pair are reunited with Edgar Street boss Richard O’Kelly, who was the long-serving assistant to former Rovers boss Sean O’Driscoll before they left the club last September.
Defender Chambers, 31, is looking to get games under his belt having recently recovered from a long-term knee injury.
Baxendale, a 19-year-old attacking midfielder, recently completed a loan spell with Buxton in the Evo-Stik League Premier Division.
England manager Gareth Southgate has claimed that the country needs to boot racism out of its own football before criticising World Cup hosts Russia.
Newcastle have been linked with a shock move for former Sunderland goalkeeper Simon Mignolet during the summer.