Congressional and Legislative
Congressional and legislative maps are enacted by the State Legislature. The Governor can veto the plans.
The Legislature can override a veto with a two-thirds vote. Republicans currently have veto-proof majorities in both chambers.
The State Supreme Court evaluates the legislative plan and verifies that it conforms to state and federal requirements. If it does not, the Legislature tries a second time to draw legal lines. If it is found to be illegal in the eyes of the court, the legislature will draw lines "in compliance with the direction of and conforming to the mandate of the Supreme Court." This process only applies to legislative maps.
Source: Kan. Const. art. X.
Kinds of Ballot Measures
Only the Kansas Legislature may refer amendments to the ballot. There is no initiative or referendum process.
Source: Kan. Const. art. XIV.