Ghana defender Daniel Opare was an unused substitute as Augsburg got kicked out from the UEFA Europa League by Liverpool on Thursday.
James Milner's early penalty was enough to earn a 1-0 aggregate win and halt the visitors' first European campaign.
Jurgen Klopp's team created plenty of chances but failed to take them, before a late Augsburg rally brought a jittery finish.
Opare, who has been battling injuries since his summer move, has been struggling to break into the first team.