The reason why Laluna brought baby Vemion with her because she wanted to evoke Cane's sympathized. She had learned about what happened to his destined mate and how Sofia had fooled him and the rest of his pack about the baby that she claimed as his firstborn.
Added that to the fact his luna had not yet with a child even until now, he must be very devastated and desperate to have his own baby, who would continue his bloodline, since he was the only one, who survived the cruel thing alpha Gerald had done to his family and pack.
And Laluna was more than willing to give him everything. She would give him the baby he wanted.
She was even more convinced when she saw the rare gentleness in his eyes when he saw baby Vemion's curse was being lifted up.
Despite his rough appearance and how cold he appeared, deep down, he must have a gentle heart and he could be a perfect father figure for baby Vemion.