Auxiliary verbs are special words that help the main verb.
Modal verbs are special words that help the main verb show possibility, intent, ability, or necessity.
You have learned that both, auxiliary and modal verbs, are used to ask yes or no questions and to give short answers.
However, auxiliary verbs have many more uses. In the table below you can see 6 different patterns for auxiliary and modal verbs.
So, Neither + auxiliary/modal verbs