Try it like this.
Public Sub MyFilter()
Dim lngStart As Long, lngEnd As Long
lngStart = Range("E1").Value 'assume this is the start date
lngEnd = Range("E2").Value 'assume this is the end date
Range("C1:C13").AutoFilter field:=1, _
Criteria1:=">=" & lngStart, _
Operator:=xlAnd, _
Criteria2:="<=" & lngEnd
End Sub
All details are here.
https://www.extendoffice.com/documents/excel/910-excel-filter-between-two-dates.html
solved Macro code to generate a formatted Excel