| 1 | 4/8/2019 | 62-1 v KilmarnockKilmarnock 1-2 Rangers | Ladbrokes Premiership |
| 2 | 8/8/2019 | 64-2 v FC MidtjyllandFC Midtjylland 2-4 Rangers | Europa League Third Qualifying Round |
| 3 | 11/8/2019 | 66-1 v HibernianRangers 6-1 Hibernian | Ladbrokes Premiership |
| 4 | 15/8/2019 | 63-1 v FC MidtjyllandRangers 3-1 FC Midtjylland | Europa League Third Qualifying Round |
| 5 | 22/8/2019 | 60-0 v Legia WarsawLegia Warsaw 0-0 Rangers | Europa League Qualifying Play-off Round |
| 6 | 25/8/2019 | 61-0 v St MirrenSt Mirren 0-1 Rangers | Ladbrokes Premiership |
| 7 | 29/8/2019 | 61-0 v Legia WarsawRangers 1-0 Legia Warsaw | Europa League Qualifying Play-off Round |
| 8 | 1/9/2019 | 60-2 v CelticRangers 0-2 Celtic | Ladbrokes Premiership |
| 9 | 14/9/2019 | 63-1 v LivingstonRangers 3-1 Livingston | Ladbrokes Premiership |
| 10 | 19/9/2019 | 6 1-0 v FeyenoordRangers 1-0 Feyenoord | Europa League Group G |
| 11 | 22/9/2019 | 64-0 v St JohnstoneSt Johnstone 0-4 Rangers | Ladbrokes Premiership |
| 12 | 25/9/2019 | 61-0 v LivingstonLivingston 0-1 Rangers | Betfred Cup Quarter Final |
| 13 | 28/9/2019 | 65-0 v AberdeenRangers 5-0 Aberdeen | Ladbrokes Premiership |
| 14 | 3/10/2019 | 61-2 v Young BoysYoung Boys 2-1 Rangers | Europa League Group G |
| 15 | 6/10/2019 | 65-0 v Hamilton AcademicalRangers 5-0 Hamilton Academical | Ladbrokes Premiership |
| 16 | 20/10/2019 | 61-1 v Heart of MidlothianHeart of Midlothian 1-1 Rangers | Ladbrokes Premiership |
| 17 | 24/10/2019 | 61-1 v FC PortoFC Porto 1-1 Rangers | Europa League Group G |
| 18 | 27/10/2019 | 62-1 v MotherwellRangers 2-1 Motherwell | Ladbrokes Premiership |
| 19 | 3/11/2019 | 63-0 v Heart of MidlothianRangers 3-0 Heart of Midlothian | Betfred Cup Semi Final |
| 20 | 7/11/2019 | 62-0 v FC PortoRangers 2-0 FC Porto | Europa League Group G |
| 21 | 10/11/2019 | 62-0 v LivingstonLivingston 0-2 Rangers | Ladbrokes Premiership |
| 22 | 24/11/2019 | 63-1 v Hamilton AcademicalHamilton Academical 1-3 Rangers | Ladbrokes Premiership |
| 23 | 28/11/2019 | 62-2 v FeyenoordFeyenoord 2-2 Rangers | Europa League Group G |
| 24 | 1/12/2019 | 65-0 v Heart of MidlothianRangers 5-0 Heart of Midlothian | Ladbrokes Premiership |
| 25 | 4/12/2019 | 6 2-2 v AberdeenAberdeen 2-2 Rangers | Ladbrokes Premiership |
| 26 | 8/12/2019 | 60-1 v CelticRangers 0-1 Celtic | Betfred Cup Final |
| 27 | 12/12/2019 | 61-1 v Young BoysRangers 1-1 Young Boys | Europa League Group G |
| 28 | 15/12/2019 | 62-0 v MotherwellMotherwell 0-2 Rangers | Ladbrokes Premiership |
| 29 | 20/12/2019 | 6 3-0 v HibernianHibernian 0-3 Rangers | Ladbrokes Premiership |
| 30 | 26/12/2019 | 61-0 v KilmarnockRangers 1-0 Kilmarnock | Ladbrokes Premiership |
| 31 | 29/12/2019 | 62-1 v CelticCeltic 1-2 Rangers | Ladbrokes Premiership |
| 32 | 22/1/2020 | 61-0 v St MirrenRangers 1-0 St Mirren | Ladbrokes Premiership |
| 33 | 26/1/2020 | 61-2 v Heart of MidlothianHeart of Midlothian 2-1 Rangers | Ladbrokes Premiership |
| 34 | 29/1/2020 | 6 2-0 v Ross CountyRangers 2-0 Ross County | Ladbrokes Premiership |
| 35 | 1/2/2020 | 6 0-0 v AberdeenRangers 0-0 Aberdeen | Ladbrokes Premiership |
| 36 | 5/2/2020 | 62-1 v HibernianRangers 2-1 Hibernian | Ladbrokes Premiership |
| 37 | 8/2/2020 | 64-1 v Hamilton AcademicalHamilton Academical 1-4 Rangers | William Hill Scottish Cup Fifth Round |
| 38 | 12/2/2020 | 61-2 v KilmarnockKilmarnock 2-1 Rangers | Ladbrokes Premiership |
| 39 | 16/2/2020 | 61-0 v LivingstonRangers 1-0 Livingston | Ladbrokes Premiership |
| 40 | 20/2/2020 | 63-2 v Sporting BragaRangers 3-2 Sporting Braga | Europa League Round of 32 |
| 41 | 23/2/2020 | 62-2 v St JohnstoneSt Johnstone 2-2 Rangers | Ladbrokes Premiership |
| 42 | 26/2/2020 | 61-0 v Sporting BragaSporting Braga 0-1 Rangers | Europa League Round of 32 |
| 43 | 29/2/2020 | 60-1 v Heart of MidlothianHeart of Midlothian 1-0 Rangers | William Hill Scottish Cup Quarter Final |
| 44 | 4/3/2020 | 60-1 v Hamilton AcademicalRangers 0-1 Hamilton Academical | Ladbrokes Premiership |
| 45 | 8/3/2020 | 61-0 v Ross CountyRoss County 0-1 Rangers | Ladbrokes Premiership |
| 46 | 12/3/2020 | 61-3 v Bayer 04 LeverkusenRangers 1-3 Bayer 04 Leverkusen | Europa League Round of 16 |
