A record £347m will be available for the four-year cycle to Rio, an 11% increase on funding for London 2012.
But basketball, handball, table tennis and wrestling will receive no money.
“The money has been distributed extremely fairly. UK Sport went into these budgets in considerable detail,” Robertson told Sportsweek on 5 live.
“It’s a remarkable achievement to have more money available for a cycle after a home Games.
