So do these phrases sound OK:
"husbands who have completed or unfinished secondary education" (high school, in other words);
"Wives who have completed or unginished higher education" (uni level, in other words)?
("Completed" in these phrases is not a verb in past tense but an adjective.)
"Husbands with completed or unfinished secondary education share their household duties with wives less often than husbands with completed or unfinished higher education." Just an example.