Not checkmate but still got a fatty and pony
I didn't immediately notice f3, instead I was looking for back rank checkmate by pushing the chicken to f1. So g4 cuts off f3 escape since Ne5 vacates f3. Trading a teddy bear and a pawn for pony and a fatty instead of checkmate is still good.
Re8+ Ne5, g4 Qxe4, R8xNe5+ QxRe5, RxQe5+