How to checked mat-checkbox in angular 14

Trying to check the mat checkbox by passing the values, But it is not working. If i click the button checkbox should be checked by passing the values. So, How to do it? If anyone knows please help to find the solution.

app.component.ts:

  checkValues(val: any) {
    let getVal = val.split(',');
    getVal.forEach((element: any) => {
    this.cardValue.options.push(element);
     console.log(element);
  });
  }

app.component.html:

  <mat-card class="card-wrapper">
  <app-mauto
  #child
  placeholder="Select Items Here ..."
  key="options"
  [data]="selectOptions"
  (result)="selectChange($event)"
  >
  </app-mauto>
  </mat-card>


  <div class="btnBox">
  <button (click)="checkValues('Car,Bus')">Select Checkbox Car and Bus</button> 
  <button (click)="checkValues('Motor,Bus')">
   Select Checkbox Motor and Bus
  </button> 
  <button (click)="checkValues('Wheel,Bus')">
   Select Checkbox Wheel and Bus
  </button>
  </div>

Demo : https://stackblitz.com/edit/angular-ivy-xhg8k2?file=src%2Fapp%2Fshared%2Fmauto%2Fmauto.component.ts

Your code is using too many variables, and they are not mapped between parent and child component accordingly, thus you are not seeing updated checkboxes on clicking the button.

Here are some of things I did to get it working:

1. Moved checkbox options to child component, since that's where the mat checkbox lives. Parent only passes selected values from the button event
2. Added ngOnChanges to child, so that it can capture the events from parent's buttons and execute the update function
3. Added a new function in child that updates arrays that are binding mat-chip and mat-select in template
4. Modified child's html code so that mat-select is using the correct array

Note: All these changes have removed have the removed filter functionality from the dropdown. I have not addressed since it's not in the scope of this question.

app.component.ts:

selectOptions: Array<string> = [];
...
...

checkValues(val: any) {
    this.selectOptions = [];
    let getVal = val.split(',');
    getVal.forEach((element: any) => {
      this.cardValue.options.push(element);
      this.selectOptions.push(element);
      console.log(element);
    });
  }

mauto.component.ts:

allOptions: Array<string> = ['Bus', 'Car', 'Motor', 'Wheel'];
...
...
ngOnInit(): void {
    console.log(this.rawData)

    let el: HTMLElement = this.myDiv.nativeElement;
    el.click();
  }

 ngOnChanges(changes: SimpleChanges) {
  if (changes.data && changes.data.currentValue) {
    this.data = changes.data.currentValue;
    this.updateSelection();
  }
 }
...
...
updateSelection = () => {
    this.selectData = [];
    this.rawData = [];
    this.allOptions.forEach((item: string) => {
      const index = this.data.indexOf(item);
      this.rawData.push({ item, selected: index > -1 });

      if (index > -1) {
        this.toggleSelection({item, selected: false })
      }
    });

    console.log(this.rawData)
  }

mauto.component.html:

 <mat-option *ngFor="let data of rawData"

Demo