I believe twinning can be influenced by nutrition, but only playing a limited role. For example, I know an individual who had 17 sets of twins on roughly 200 head of cows (8.5%). These cows are fed well in quantity, quality, and nutritionally. They receive fed daily and free choice Kent mineral. They have noticed that some of their heifers that twinned were a twin themselves. Thus, leading me to believe it can be hereditary especially from the dam's side. We ourselves had a Simmental cross cow that we bought a half rack of Double Stuff for years ago and we bred her 4 years in a row to Double Stuff, all of which resulted in twin bulls. The fifth year we bred her to Warhorse and got a single. The sixth year she was bred to the last unit of Double Stuff, resulting in another set of bull calf twins. So, that leads me to believe that twinning can be hereditary maternally and paternally.
Twins are either monozygotic or dizygotic. Monozygotic twins (identical twins) result when a single egg, fertilized by a single sperm, divides into two embryos. Dizygotic twins (fraternal twins) result when two fertilized eggs, fertilized by two different sperm, attach to the uterine wall at the same time.
Therefore, you may want to analyze your pedigrees and look for consistency. I do not feel A.I. plays any part, but the genetics of the bull being used might. If you feel that it is not genetic, then it may pay to analyze your nutrition program, especially your mineral. I hope this helps and good luck!