Question

As a result of some former Confederate states’ refusal to ratify the Fourteenth Amendment,

Answer 1

This question is incomplete, here´s the complete question.

As a result of some former Confederate states’ refusal to ratify the Fourteenth Amendment,

Congress established military rule in the South.

Congress changed the ratification process.

Those states reluctantly rejoined the Union.

The amendment was not ratified for many years.

Answer: Congress established military rule in the South

Explanation:

The 14th Amendment had been rejected by most Southern states, so the federal government signed the Reconstructions Acts, splitting the South into five military zones, and forcing former Confederate states to ratify the amendment as a requirement to regain Congress representation.  

The Union Army secured the former Confederate states' compliance and on July 9, 1868, Louisiana and South Carolina ratified the 14th Amendment, making up the required two-thirds majority.

Answer 2

"As a result of some former Confederate states' refusal to ratify the Fourteenth Amendment," 
Possible answer = Congress established military rule in the South.