The phrase "all and sundry" is an idiomatic expression that means everybody, without distinction or exception. In your mother's case, it means she made tea for everyone present in the home.
My mother made tea for all and sundry at home. (Here ALL AND SUNDRY means)
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Question context
This question is part of 🗣️ Verbal Ability within the broader 🧠 Aptitude Mastery subject and appears in the ETEA Educational Testing and Evaluation Agency preparation collection. Reviewing the answer together with nearby questions helps reinforce the underlying concept and identify how it may appear in competitive exams.