Neo traditional is a type of marriage dynamic. The man (husband) is the primary earner while the woman (wife) is the secondary earner. The man helps with housework / chores while the woman helps with childcare.
If there are no kids, the man will still be the primary earner and the woman as the secondary earner, only this time they split housework 50/50.
Neo traditional is a type of new marriage dynamic. Rather than the 50/50 split in egalitarian marriages, neo traditional uses a 60/40 split. The husband is the primary earner, the wife is the secondary earner. Chores are split mostly evenly, and the children are put into daycare or looked after at home (usually by the woman).
The husband is typically responsible for the main bills and expenses, while the wife has supplemental income for helping purchase extra things.