The 31-year-old Booser recorded an inning of relief Friday against the Pirates.
Caglianone is currently one of the top-ranked prospects ahead of the 2024 MLB draft.
Yoane Wissa puts the Bees on top to sour Luton's hopes to heap pressure on Sunday's Everton vs Nottingham Forest fixture.
Safety hopes are slim but there won't be a better chance to seize great escape momentum for either Sheffield United or Burnley than Saturday's tilt at Bramall Lane.