How do you call that word before verb in continuous tenses?

[Mephistopheles]

English Language Tests, Intermediate level

ESL/EFL Test #783 "Grammar Tutorial: Correct Word Usage (1)", question 3

Our meeting ......... into supper time so please call your loved ones and let them know that you will all be home late tonight because the project is not complete.

(a) being extended
(b) be extending
(c) will extend
(d) extending

English Language Tests, Intermediate level

ESL/EFL Test #783 "Grammar Tutorial: Correct Word Usage (1)", answer 3

Our meeting will extend into supper time so please call your loved ones and let them know that you will all be home late tonight because the project is not complete.

Correct answer: (c) will extend

Your answer was: correct
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I can't write extending because there is no is, and how do you call that word before verb in continuous tenses.

[OxfordBlues]

Both words are verb. In both aspects (continuous is an aspect, not a tense) there are at least one content verb and one auxiliary.

In the simple aspect the auxiliary verb is do (do, does, did). In the continuous, the auxiliary verb is be (am/is/are, was/were, been).

The auxiliary verb carries agreement for person (1st, 2nd, third), number (singular, plural), and tense (present, past, future).
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[Mephistopheles]

Thx for the explanation.