https://www.merriam-webster.com/dictionary/ordering

Order - transitive verb - 1. to put in order : arrange - "The books are ordered alphabetically by author."

noun - 4. b(1) the arrangement, organization, or sequence of objects or of events - "alphabetical/chronological/historical order" "listed the items in order of importance"

https://www.merriam-webster.com/dictionary/sorting

Sort - transitive verb - 1. to put in a certain place or rank according to characteristics - "sort the mail" "sorted the winners from the losers" "sorting the data alphabetically"

noun - 5. an instance of sorting - "a numeric sort of a data file"

to put a number of things in an order or to separate them into groups: Paper, plastic, and cans are sorted for recycling.

sort something into something I'm going to sort these old books into those to be kept and those to be thrown away.

sort something by something You can use the computer to sort the newspaper articles alphabetically, by date, or by subject.

sort (through) She found the ring while sorting (through) some clothes.

You might substitute "sorted by height" but its certainly not a correction. While "ordered into lines" would be an error.