Original code:
public class MessageAlert {
    @auraenabled
    public static Boolean getmessages(String recordId){
        Boolean checkExpDate = False;
        List<LVSCR_c> contactList = new List<LVSCR_c>();
        Set<String> newSet = new Set<String>();
        //     Set<String> existingSet = new Set<String>();
        for ( LVSCR__c lvs : contactList ) {
            system.debug(lvs);
            if ( lvs.Contact__c != null ) {
                newSet.add(lvs.Contact__c);
            }
        }
        system.debug('newset--->>'+newSet);
        
        List <LVSCR_c> soql = new List<LVSCR_c>();
        soql = [SELECT Id,Contact_c FROM LVSCRc WHERE Id =: recordId AND Contact_c IN: newSet];
        system.debug('soql--->'+soql);
        if(soql.size()>0){
                //checkExpDate = True;
        }
        else{
                checkExpDate = False;
        }
        return checkExpDate;
    }
}

I hav tried but Its not covering the whole code.
apex test class:

@isTest
private class MessageAlertTest{
        @isTest
        static boolean getmessages(){
            List<LVSCR_c> conlist = new List<LVSCR_c>();
            Boolean checkExpDate = False;

            Lvscr_c lvscrcObj = new Lvscr_c ();
            lvscrcObj.Id='0012600001Ck4AEAA';
            lvscrcObj.Contact__c = '0012600001Ck4AEAA'; 
            lvscrcObj.Delivery_Type__c ='Original'; 
            lvscrcObj.LAFS__c = '122255'; 
            lvscrcObj.Tamm_Authorisation__c ='Yes';
            conlist.add(lvscrcObj);
            update conlist; 
            return checkExpDate;
      
         
    }

    @isTest static void testMethod1() {
        // code_block    
    }

    @isTest static void testMethod2() {
        // code_block    
    }
}

Original code:
global class LightningForgotPasswordController {

    public LightningForgotPasswordController() {

    }

    @AuraEnabled
    public static String forgotPassword(String username, String checkEmailUrl) {
        try {
            Site.forgotPassword(username);
            ApexPages.PageReference checkEmailRef = new PageReference(checkEmailUrl);
            if(!Site.isValidUsername(username)) {
                return Label.Site.invalid_email;
            }
            aura.redirect(checkEmailRef);
            return null;
        }
        catch (Exception ex) {
            return ex.getMessage();
        }
    }

    @AuraEnabled
    global static String setExperienceId(String expId) {    
        // Return null if there is no error, else it will return the error message 
        try {
            if (expId != null) {
                Site.setExperienceId(expId);               
            }
            return null; 
        } catch (Exception ex) {
            return ex.getMessage();            
        }        
    } 
}

Test class:
@IsTest(SeeAllData = true)
public with sharing class LightningForgotPasswordControllerTest {

 /* Verifies that ForgotPasswordController handles invalid usernames appropriately */
 @IsTest
 static void testLightningForgotPasswordControllerInvalidUserName() {
  System.assertEquals(LightningForgotPasswordController.forgotPassword('fakeUser', 'http://a.com'), Label.Site.invalid_email);
  System.assertEquals(LightningForgotPasswordController.forgotPassword(null, 'http://a.com'), Label.Site.invalid_email);
  System.assertEquals(LightningForgotPasswordController.forgotPassword('a', '/home/home.jsp'), Label.Site.invalid_email);
 }

 /* Verifies that null checkEmailRef url throws proper exception. */
 @IsTest
 static void testLightningForgotPasswordControllerWithNullCheckEmailRef() {
  System.assertEquals(LightningForgotPasswordController.forgotPassword('a', null), 'Argument 1 cannot be null');
  System.assertEquals(LightningForgotPasswordController.forgotPassword('a@salesforce.com', null), 'Argument 1 cannot be null');
 }

 /* Verifies that LightningForgotPasswordController object is instantiated correctly. */
 @IsTest
 static void LightningForgotPasswordControllerInstantiation() {
  LightningForgotPasswordController controller = new LightningForgotPasswordController();
  System.assertNotEquals(controller, null);
 }
}

Original code:
global class LightningForgotPasswordController {

    public LightningForgotPasswordController() {

    }

    @AuraEnabled
    public static String forgotPassword(String username, String checkEmailUrl) {
        try {
            Site.forgotPassword(username);
            ApexPages.PageReference checkEmailRef = new PageReference(checkEmailUrl);
            if(!Site.isValidUsername(username)) {
                return Label.Site.invalid_email;
            }
            aura.redirect(checkEmailRef);
            return null;
        }
        catch (Exception ex) {
            return ex.getMessage();
        }
    }

    @AuraEnabled
    global static String setExperienceId(String expId) {    
        // Return null if there is no error, else it will return the error message 
        try {
            if (expId != null) {
                Site.setExperienceId(expId);               
            }
            return null; 
        } catch (Exception ex) {
            return ex.getMessage();            
        }        
    } 
}

Test class:
@IsTest(SeeAllData = true)
public with sharing class LightningForgotPasswordControllerTest {

 /* Verifies that ForgotPasswordController handles invalid usernames appropriately */
 @IsTest
 static void testLightningForgotPasswordControllerInvalidUserName() {
  System.assertEquals(LightningForgotPasswordController.forgotPassword('fakeUser', 'http://a.com'), Label.Site.invalid_email);
  System.assertEquals(LightningForgotPasswordController.forgotPassword(null, 'http://a.com'), Label.Site.invalid_email);
  System.assertEquals(LightningForgotPasswordController.forgotPassword('a', '/home/home.jsp'), Label.Site.invalid_email);
 }

 /* Verifies that null checkEmailRef url throws proper exception. */
 @IsTest
 static void testLightningForgotPasswordControllerWithNullCheckEmailRef() {
  System.assertEquals(LightningForgotPasswordController.forgotPassword('a', null), 'Argument 1 cannot be null');
  System.assertEquals(LightningForgotPasswordController.forgotPassword('a@salesforce.com', null), 'Argument 1 cannot be null');
 }

 /* Verifies that LightningForgotPasswordController object is instantiated correctly. */
 @IsTest
 static void LightningForgotPasswordControllerInstantiation() {
  LightningForgotPasswordController controller = new LightningForgotPasswordController();
  System.assertNotEquals(controller, null);
 }
}