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I used a similar activity - instead of popsicle sticks - cut strips of paper- pairs of homologous chromosomes (pink for maternal set and blue for paternal set of homologous chromosomes); on the 7th set XX for female and XY for male - the X chromosome allele = H for Horn and h for hornless - we kept track of how many males vs female expected; and how many males expected hornless if the females all were heterozygous for Horned and all male parents started out H (horned). It worked well to show hornless males occurred more often in a large population - and that the female X/h chromosome is passed to the male offspring. Good lead in to natural selection.
Students worked in pairs (mom and dad) placing all chromosomes face down on the desk and choosing one of each pair to form the zygote.