「なんで この時は、食べてになるのに、待ってになるんですか? 」みたいな、
What does verb in て form + になる mean here?
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Given your context, the speaker is mentioning specific word forms 食べて and 待って, and they have no grammatical connection with other parts of the sentence. To be a little reader-friendlier:
"Why does it become 'matte' while 'tabete' in this case?"
But few native speakers would be confused by this kind of insertion of a couple raw words without explicit indication.