HI Jannu,
Try the below code which is in the context of the account object. You can customize the code as per your requirement

<apex:page controller="AccountController" docType="html-5.0" renderAs="{!render}">
    <apex:form >
        <apex:pageBlock >
            <apex:pageBlockSection >
                <apex:input label="Start Date" value="{!startdate}" type="date" />
            </apex:pageBlockSection>
            <apex:pageBlockButtons >
                <apex:commandButton action="{!search}" value="Search" />
                  <apex:commandButton value="download pdf" action="{!Downloadhere}"/>
            </apex:pageBlockButtons>
            <apex:pageBlockTable value="{!accounts}" var="acc">
                <apex:column value="{!acc.Name}" />
                <apex:column value="{!acc.CreatedDate}" />              
            </apex:pageBlockTable>
        </apex:pageBlock>
    </apex:form>
</apex:page>

 

public class AccountController {
    public Date startDate { get; set; }
    public string render {get; set;}
    public Date endDate { get; set; }
    public List<Account> accounts { get; set; }
    public void Downloadhere(){
        render='pdf';
    }
    
    public void search() {
       
        accounts = [SELECT Id, Name, CreatedDate 
                    FROM Account 
                    WHERE CreatedDate >= :startDate ];
       
}
}

If this information helps, please mark the answer as best. Thank you