Complex sentence: The rivalry in recent years comes from both World Cup Qualifying and Gold Cup Qualifying with Antigua and Barbuda eliminating Haiti in 2011 in the 2014 World Cup Qualifiers and then the following year in 2012, Haiti eliminated Antigua and Barbuda from reaching the 2013 CONCACAF Gold Cup.
Split into simpler sentences: The rivalry in recent years comes from both World Cup Qualifying and Gold Cup Qualifying. With Antigua and Barbuda eliminating Haiti in 2011 in the 2014 World Cup Qualifiers and then the following year in 2012, Haiti eliminated Antigua and Barbuda from reaching the 2013 CONCACAF Gold Cup.