Cacher is the code snippet organizer for pro developers

<template>
    
    <div class="slds-grid slds-gutters slds-wrap">
        <div class="slds-col slds-size_1-of-4">
            <div class="slds-theme_shade">
                <div class="slds-m-left_small slds-m-right_large">
                    <c-combo-box-cmp combo-box-options={objSelectionCombo} value={objValue} combo-label="Object"
                                     oncombovaluechange={handleChangeObj}>
                
                    </c-combo-box-cmp>
                
                </div>
                <div class="slds-m-left_small slds-m-right_large slds-m-top_small">
                    <c-combo-box-cmp combo-box-options={recTypeSelectionCombo} value={recTypeValue} combo-label="Record Type"
                                     oncombovaluechange={handleChangeRectype}>
                    
                    </c-combo-box-cmp>
                    
                </div>
                <div class="slds-m-left_small slds-m-right_large slds-m-top_small">
                    <lightning-input name="location" label="Location" class="slds-m-top_small"></lightning-input>
                    <lightning-button label="Search"></lightning-button>
                </div>
            </div>
            <div class="slds-m-top_small">
                <div class="slds-m-left_small">
                    <c-check-box-cmp map-checkbox-options={mapCheckboxOptions} value-check-box={valueCheckBox}
                                        options-check-box={optionsCheckBox}>
        
                    </c-check-box-cmp>
                </div>
            </div>
        </div>
        <div class="slds-col slds-size_3-of-4">
        </div>
    </div>

</template>

public with sharing class ObjectAndRecTypeSelCC {
    public ObjectAndRecTypeSelCC() {

    }

    @AuraEnabled(cacheable = true)
    public static String getObjectList () {
        List<String> objSelectionCombo = new List<String>();

        List<Schema.SObjectType> gd = Schema.getGlobalDescribe().Values();
        for(Schema.SObjectType objTyp : gd) {
            String name = objTyp.getDescribe().getName();

            if(!name.containsignorecase('history') && !name.containsignorecase('tag') &&
                !name.containsignorecase('share') && !name.containsignorecase('feed') && !name.containsignorecase('ChangeEvent')) 
            {      
                objSelectionCombo.add(name);
            }
        }

        objSelectionCombo.sort();
        return JSON.serialize(objSelectionCombo);
    }

    @AuraEnabled(cacheable = true)
    public static String getRecordTypes (String objApiName) {

        System.debug('objApiName @@@@ ' + objApiName);
        List<String> lstRTName = new List<String>();
        if (objApiName != null) {
            List<RecordType> lstRT = [SELECT Id, Name FROM RecordType WHERE SobjectType = :objApiName];

            if (!lstRT.isEmpty()) {
                for (RecordType rt : lstRT) {
                    lstRTName.add(rt.Name);
                }
            }
        }

        return JSON.serialize(lstRTName);
    }

    @AuraEnabled(cacheable = true)
    public static string getCheckboxValues () {
        
        Map<string, List<String>> mapCheckboxOptions = new Map<string, List<String>>();
        mapCheckboxOptions.put('Commodity', fetchCheckboxOptions('Commodity'));
        mapCheckboxOptions.put('Flexible', fetchCheckboxOptions('Flexible'));

        return JSON.serialize(mapCheckboxOptions);
    }

    public static List<String> fetchCheckboxOptions (String strComboVal) {

        List<String> lstCheckboxOptions = new List<String>();

        if (strComboVal == 'Commodity') {
            lstCheckboxOptions.add('Manufacturer');
            lstCheckboxOptions.add('Corrugator');
            lstCheckboxOptions.add('Sheet plant');
            lstCheckboxOptions.add('Large RSC');
            lstCheckboxOptions.add('Small RSC');
            lstCheckboxOptions.add('Displays/POP');
            lstCheckboxOptions.add('Triple wall');
            lstCheckboxOptions.add('4+ colors');
            lstCheckboxOptions.add('Micro flute');
            lstCheckboxOptions.add('Speciality glue or die cut');
        }
        else if (strComboVal == 'Flexible') {
            lstCheckboxOptions.add('Printer/Converter (checkbox)');
            lstCheckboxOptions.add('Types of Materials (free text)');
            lstCheckboxOptions.add('Styles of Materials (free text)');
            lstCheckboxOptions.add('# of Layers (free text)');
            lstCheckboxOptions.add('Ability to Perf (checkbox)');
            lstCheckboxOptions.add('Print Processes (free text)');
            lstCheckboxOptions.add('Surface Print/Reverse Print (free text)');
            lstCheckboxOptions.add('# of Colors (free text)');
            lstCheckboxOptions.add('In-House Graphics/Plates (checkbox)');
        }

        return lstCheckboxOptions;
    }
}

/* eslint-disable no-console */
/* eslint-disable vars-on-top*/
/* eslint-disable guard-for-in*/

import {LightningElement, api, track, wire} from 'lwc';
import getObjectList from '@salesforce/apex/ObjectAndRecTypeSelCC.getObjectList';
import getRecordTypes from '@salesforce/apex/ObjectAndRecTypeSelCC.getRecordTypes';
import getCheckboxValues from '@salesforce/apex/ObjectAndRecTypeSelCC.getCheckboxValues';

export default class ObjectAndRecTypeSelectCmp extends LightningElement {
    @api objSelectionCombo     = [];
    @api recTypeSelectionCombo = [];
    @api objValue = '';
    @api recTypeValue = '';

    @api mapCheckboxOptions = [];
    @api valueCheckBox      = [];
    @api optionsCheckBox    = [];

    @track error;

    @wire(getRecordTypes, {objApiName: '$objValue'})
    wiredRecordTypes ({error, data}) {
        if (data) {
            this.recTypeSelectionCombo = JSON.parse(data);
            this.error = undefined;
        } else if (error) {
            this.error = error;
            this.recTypeSelectionCombo = undefined;
        }
    }

    connectedCallback () {
        getObjectList () 
            .then(result => {
                console.log("Object List @@@@", result);
                this.objSelectionCombo = JSON.parse(result);
            })
            .catch(error => {
                this.error = error;
            });

        getCheckboxValues ()
            .then(result => {
                this.mapCheckboxOptions = JSON.parse(result);
            })
            .catch(error => {
                this.error = error;
            });
    }

    handleChangeObj (event) {
        this.objValue = event.detail;
    }

    handleChangeRectype (event) {
        this.recTypeValue = event.detail;

        for (var key in this.mapCheckboxOptions) {
            if (key === this.recTypeValue)
                this.optionsCheckBox = this.mapCheckboxOptions[key];
        }
    }
}