The lift ____ out of order all last Tuesday, so the delivery team carried everything up the stairs.

Explication

The subject "the lift" is singular and the time marker "all last Tuesday" closes the period off in the past, so be takes its singular past form was; a plural subject such as "the lifts" would take were instead. Present-tense "is" contradicts that time marker, and "being" is the -ing form, which cannot serve as the main verb of a clause on its own.