וְלָקַ֧ח הַכֹּהֵ֛ן הַטֶּ֖נֶא מִיָּדֶ֑ךָ וְהִ֨נִּיח֔וֹ לִפְנֵ֕י מִזְבַּ֖ח יְהוָ֥ה אֱלֹהֶֽיךָ׃
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Rashi
ולקח הכהן המנה מידך AND THE PRIEST SHALL TAKE THE BASKET OUT OF THY HAND in order to wave it. The priest places his hand beneath the hands of the owner and so waves it (Sukkah 47b).
Chizkuni
ולקח הכהן הטנא מידך, “the priest will accept the basket from your hands;” the priest acts as the delegate of the king, i.e. Hashem, in this instance.
Sforno
והניחו לפני מזבח ה' אלוקיך, to make plain by this gesture that these fruit are not really intended for the priest, but are a present to G’d, Who, in turn, gives them to the priest just as He does with other offerings brought to Him.