The RB Leipzig footballers secured second place in the table.
Bayern still leads the table with 48 points, Leipzig has 44 and a game more, while Augsburg is 13th with 22 points.
But Leipzig won 2-1 over Augsburg on their own turf in the 21st round of the Bundesliga.
Former Dinamo player Daniel Olmo (38pen) and Nkunku (43) scored at the end of the first half.
On the other hand, Caligiuri (77pen) scored an honorable goal for the guests.
Leipzig will play a Champions League round of 16 match against Liverpool next week.
RB Leipzig – Augsburg (2:1):
Goals: 1-0 Olmo 38, 2-0 Nkunku 43, 2-1 Caligiuri 77
Bookings: Klostermann, Orban, Adams; Oxford, Gouweleeuw, Suchy, Gikiewicz, Benes
RB Leipzig: Gulacsi, Halstenberg, Orban, Klostermann, Angelino, Kampl, Mukiele, Nkunku, Haidara, Poulsen, Olmo
Substitutions: Sorloth, Adams, Konate, Sabitzer
Augsburg: Gikiewicz, Oxford, Gouweleeuw, Suchy, Pedersen, Strobl, Gruezo, Gumny, Benes, Caligiuri, Hahn
Substitutions: Vargas, Khedira, Richter, Niederlechner