Dimitrios Grammozis is Schalke's fifth head coach this season and takes charge with the Royal Blues having won just one league game all season.
Schalke are last in the Bundesliga standings with four points from 12 games and trying desperately to end their club-record 28-game run without a win in the league.
Bottom in the Bundesliga after a club-record 24 games without a win over two seasons, Schalke are finding it hard to put a side together for Saturday’s league game at Borussia Monchengladbach.
After David Wagner was sacked on Sunday, his successor Baum, 41, is tasked with ending Schalke's miserable 18-match winless streak in the Bundesliga dating back to January.
Augsburg have won just two of their last eight games and sit precariously above the bottom three, with only four points separating them from Stuttgart in the relegation play-off place