tab-group-theme-example.html

<div>
  <mat-button-toggle-group #colorToggle="matButtonToggleGroup"
                           value="primary"
                           aria-label="Change color">
    <mat-button-toggle value="primary">Primary</mat-button-toggle>
    <mat-button-toggle value="accent">Accent</mat-button-toggle>
    <mat-button-toggle value="warn">Warn</mat-button-toggle>
  </mat-button-toggle-group>
  <span class="example-button-toggle-label">Color</span>
</div>

<div>
  <mat-button-toggle-group #backgroundColorToggle="matButtonToggleGroup"
                           value="primary"
                           aria-label="Change color">
    <mat-button-toggle value="primary">Primary</mat-button-toggle>
    <mat-button-toggle value="accent">Accent</mat-button-toggle>
    <mat-button-toggle value="warn">Warn</mat-button-toggle>
  </mat-button-toggle-group>
  <span class="example-button-toggle-label">Background Color</span>
</div>

<mat-tab-group [color]="colorToggle.value" [backgroundColor]="backgroundColorToggle.value">
  <mat-tab label="First">Content 1</mat-tab>
  <mat-tab label="Second">Content 2</mat-tab>
  <mat-tab label="Third">Content 3</mat-tab>
</mat-tab-group>