The study used A5 and 1565ch aluminum alloys to investigate the effect of the alloying degree on texture formation during aluminum alloy drawing. The mechanisms, due to which alloying produces an effect on the material texture, are described. For study purposes, the annealed sheet samples, produced from the above alloys, were used to draw cylinder-shaped parts. The study of both alloys’ grain structure in the annealed state enabled establishing the alloys’ recrystallization degree and its potential mechanisms. In addition, both alloys were examined using X-ray texture analysis in the annealed and drawn states. Analysis of crystallographic orientations after annealing showed the presence of essentially different crystallographic orientations in the studied alloys, produced using identical practices. This is evidence of an essential quantitative and qualitative effect of alloying on texture formation and is, primarily, associated with recrystallization behavior. The difference in texture composition in the annealed state has a further effect on texture evolution during cold forming. At the same time, Goss texture formation and cube texture reversal occur in both alloys during cold forming.