Animal nutritionists are now searching for new non-traditional feed sources to enhance ruminants’ diets due to price increases and the unavailability of some unconventional feed ingredients. In a Completely Randomized Design, wheat offal was substituted with cabbage waste silage in diets 1 to 5 at 0, 10, 20, 30, and 40%, respectively for 30 days to assess the physicochemical characteristics and acceptability of the new diets by Yankasa rams. Temperatures of 29.00 ± 0.14 and 28.05 ± 0.78 °C, respectively, were noticeably lower in diets 4 and 5. Diets 4 (4.26) and 5 (4.38) considerably lowered (P > 0.05) the pH. All of the diets had good silages based on color, smell, and texture, with diet 5 having a firm and wet texture. Diets 4 and 5 had sweet aromatic odour. With increasing the amount of cabbage waste in the silage, the dry matter dropped, going from 80.11 to 46.88% in diets 1 and 5, respectively. Diet 4’s lowest CP of 12.68%, is sufficient for ruminant feeding. In diet 4, the values of crude fiber and ether extract significantly (P < 0.05) increased. Although there were substantial differences (P < 0.05) in each diet’s fiber content, the NDF, ADF, and ADL all fell within the acceptable range for excellent silage. All the silages made in diets 1 to 5 were acceptable by Yankasa rams, but diet 5 ranked highest in terms of coefficient of preference (CoP). According to all findings, cabbage waste could be a valuable silage additive in ruminants’ diets. Wheat offal can be replaced by cabbage waste up to 30% and 40% in the diet of ruminants with good silage formation and better CoP.