Hull KR have won their last two away games against their neighbours, 40-0 and 36-4, and the margin of victory would have been even greater had it not been for five of their six kick attempts.
Already leading by eight points, the derby tilted firmly in Rovers' favor in two key moments before half-time.
Lewis, who featured as England's half-back in the series win against Tonga at the end of 2023, outscored the home defenders to score the Robins' third try.
And the hosts had little room to complain when referee Liam Moore showed Pele a red card. Pele recklessly swung his arms at Minchella, who had already tackled his opponent to the floor and fell to the ground.
Regardless of the final result against their city rivals, Hull FC's start could not have been worse as they look to improve on last season's 10th place finish.
The game was suspended before kick-off when center Liam Sutcliffe was forced off due to illness, and forward Joe Cater was sent off injured within the first 10 minutes.
Additionally, experienced hooker Danny Houghton failed a head injury assessment following a knock in the second period.
However, Tony Smith's side were not helped by indiscipline, playing more than half the game with 12 men and playing the final minutes with just 11 men.
Herman Esese had already spent 10 minutes of the first half with a high tackle in the sin bin before Pele and Sao received the harsh punishment.
Hull FC: Walker; Martin, Litten, Scott, McIntosh. Smith, F. Brown; Esese, Houghton, Pele, Okunbolu, Thao, Quatre.
Interchange: Hoy, Lane, Ashworth, J. Brown.
Exit: Pele (39 years old), Thao (73 years old).
Sin bin: Esseese (11).
Hull KR: Draw. Ebbals, Opacic, Gildart, R. Hall. May, Lewis. Hadley, Litten, Whitbread, Tanginoa, Batchelor, Minchella.
Interchange: Sue, King, Purcell, Aydin, C Hall.
Sin bin: Purcell (73).
Referee: Liam Moore.