Maryland will be facing off with Eastern Michigan in the first round of the tournament April 1.
Tayler Osterhout and Samantha Gilbert notched 9.8s as the Terps put up their highest-ever score in a Big Ten championship meet.
The Terps posted their fourth-highest team score of the season.
Barber was named to the first team, while McClure received second-team distinction.
The Terps started off well on vault, but failed to keep that momentum going.
The sophomore tore her Achilles tendon during Wednesday's practice.
Burgess and Barber notched back-to-back 9.90s to give the Terps their second 196 of the season against Rutgers.
The Terps posted their second-highest score of the season all while missing Emma Silberman, Elizabeth DeBarberie and Tayler Osterhout.
Emma Silberman is nursing a knee injury, while three other regulars in the rotation did not practice due to COVID-19 contact tracing protocols.
Glauber tied the Terps' uneven bars record with a 9.95.