We are using ace:dataTable with paginatorPosition="both" to show paginator in top and bottom of datatable.

<ace:dataTable id="carTable" value="#{aceDataTablePage.carList}"
var="car" paginator="true" paginatorPosition="both"
rows="10" reorderableColumns="true" resizableColumns="true"
paginatorTemplate="{CurrentPageReport} &lt;br/&gt; {FirstPageLink} {PreviousPageLink} {PageLinks} {NextPageLink} {LastPageLink} Show Items {RowsPerPageDropdown} "
currentPageReportTemplate="Displaying {startRecord} - {endRecord} records of {totalRecords} (Page {currentPage} of {totalPages})"
rowsPerPageTemplate="10,25,50,75,100" singleSort="true"
filterListener="#{aceDataTablePage.filterListener}">
<ace:column headerText="Name" sortBy="#{car.name}">
<h:outputText id="idCell" value="#{car.name}" />
</ace:column>
<ace:column headerText="Model" sortBy="#{car.model}"
filterBy="#{car.model}" filterMatchMode="contains">
<h:outputText id="nameCell" value="#{car.model}" />
</ace:column>
<ace:column headerText="Make Year" sortBy="#{car.makeYear}">
<h:outputText id="chassisCell" value="#{car.makeYear}" />
</ace:column>
<ace:column headerText="Price" sortBy="#{car.price}">
<h:outputText value="#{car.price}" />
</ace:column>
</ace:dataTable>

With the above code, it displays as below,

Displaying 1 - 10 records of 29 (Page 1 of 3)
paginator buttons and show items dropdown
datatable
Displaying 1 - 10 records of 29 (Page 1 of 3)
paginator buttons and show items dropdown

instead we want to reverse the order of bottom paginator items, like this

Displaying 1 - 10 records of 29 (Page 1 of 3)
paginator buttons and show items dropdown
datatable
paginator buttons and show items dropdown
Displaying 1 - 10 records of 29 (Page 1 of 3)

Screenshot attached as well.