Concept:
Gynogenesis is the production of haploid plants from female gametic cells (megaspores or egg cells). This is used as an alternative to androgenesis, especially in species where pollen culture is ineffective.
Step 1: Identifying Gynogenic Sources.
Gynogenic plants must originate from the female reproductive tissues. Ovule culture (1) and Ovary culture (3) directly target the female gametophyte. Floral bud culture (2) can also lead to gynogenesis because it contains the immature ovaries and ovules.
Step 2: Analyzing Axillary Buds.
An axillary bud (4) is a vegetative structure found in the axil of a leaf. It consists of diploid ($2n$) somatic tissues (meristematic cells) that give rise to branches or leaves.
Step 3: Conclusion.
Regeneration from an axillary bud results in a normal clonal diploid plant, not a gynogenic (haploid) plant. Therefore, it is the incorrect source for gynogenesis.