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Shouldn't it be "moja mama robi obiad" ? I was told by a native Polish teacher that "gotować" is now used only when something is being boiled like "gotować jajki", whereas obiad, śniadanie, kolacje, etc should be only used with "robić"
"Robi" is accepted, but this exercise is designed to teach the verb "gotować". I disagree, as "obiad" rather usually really takes some "cooking", I don't see a slightest problem here. With "śniadanie" it would look weird though, true.
P.S. The plural of "jajko" is "jajka" :)