Rovers will find out their Papa Johns Trophy round of 32 opponents on Friday, November 11.
FGR won all three of their group games in this season's competition - defeating Southampton Under-21s, Newport County and Exeter City. As Rovers won the group, they are guaranteed a home tie in the next round.
Ian Burchnall's side - who are ball number six in the draw - will play one of: Charlton Athletic, Portsmouth, Cheltenham Town or Peterborough United.
The draw will take place on Friday evening, live on Sky Sports, following the conclusion of the televised Sky Sports game between Birmingham City and Sunderland in the Championship. The ties will take place on the week commencing November 21.
Papa Johns will be inviting fans to experience the magic of midweek football with a guest of their choice by giving away 25 pairs of tickets to every home game and a free small Cheese and Tomato pizza as part of its PJT Nights offer.
The pizza delivery chain is giving back to football fans by offering 50% off pizzas to EFL season or match ticket holders. Simply present an EFL season or match ticket to staff in a Papa Johns store to redeem 50% off pizza.