To toggle a sidenav from another component you need:
- the property decorator @ViewChild.
- a service to accomplish this functionality.
for example let's say you have a header component that manages all the headers and several sidenav components one for each header.
so in the:
header
header.component.html
<mat-toolbar color="primary" class="example-toolbar" [ngSwitch]="headerType">
  <!-- HEADER_1 -->
  <mat-toolbar-row color="warn" class="example-toolbar" *ngSwitchCase="1">
    <button mat-icon-button (click)="toggleSidenav()">
      <mat-icon>menu</mat-icon>
    </button>
    <h1 class="example-app-name">HEADER 1</h1>
  </mat-toolbar-row>
  <!-- HEADER_2 -->
  <mat-toolbar-row color="warn" class="example-toolbar" *ngSwitchCase="2">
    <button mat-icon-button (click)="toggleSidenav()">
      <mat-icon>menu</mat-icon>
    </button>
    <h1 class="example-app-name">HEADER 2</h1>
  </mat-toolbar-row>
  <!-- DEFAULT HEADER -->
  <mat-toolbar-row *ngSwitchDefault>
   <h1 class="example-app-name">DEFAULT HEADER</h1>
  </mat-toolbar-row>
</mat-toolbar>
in the header.component.ts:
import { Component, OnInit, ChangeDetectorRef } from '@angular/core';
import { MediaMatcher } from '@angular/cdk/layout';
import { SidenavService } from '../services/sidenav.service';
@Component({
  selector: 'app-header',
  templateUrl: './header.component.html',
  styleUrls: ['./header.component.scss']
})
export class HeaderComponent implements OnInit {
   headerType: number;
   toggleActive = false;
   mobileQuery: MediaQueryList;
   private _mobileQueryListener: () => void;
   constructor(private sidenav: SidenavService,
    changeDetectorRef: ChangeDetectorRef, media: MediaMatcher) {
    // to change the varible in the *ngSwitch directive
    this.newHeader(1);
    // this.newHeader(2);
    this.mobileQuery = media.matchMedia('(max-width: 600px)');
    this._mobileQueryListener = () => changeDetectorRef.detectChanges();
    this.mobileQuery.addListener(this._mobileQueryListener);
   }
   newHeader(headerType: number) {
     this.headerType = headerType;
   }
   toggleSidenav() {
        this.toggleActive = !this.toggleActive;
        this.sidenav.toggle();
   }
}
sidenav
in the sidenav.service.ts:
import { Injectable } from '@angular/core';
import { MatSidenav } from '@angular/material';
@Injectable({
  providedIn: 'root'
})
export class SidenavService {
  private sidenav: MatSidenav;
  constructor() { }
  public setSidenav(sidenav: MatSidenav) {
    this.sidenav = sidenav;
  }
  public open() {
    return this.sidenav.open();
  }
  public close() {
    return this.sidenav.close();
  }
  public toggle(): void {
    this.sidenav.toggle();
  }
}
let's say you have multiple sidenav components one for each header:
in sidenav1.component.html:
<div class="example-container" [class.example-is-mobile]="mobileQuery.matches">
  <app-header></app-header>
  <mat-sidenav-container class="example-sidenav-container" [style.marginTop.px]="mobileQuery.matches ? 56 : 0">
    <mat-sidenav #snav [mode]="mobileQuery.matches ? 'over' : 'side'" [fixedInViewport]="mobileQuery.matches"
      fixedTopGap="56">
      <mat-nav-list>
        <a mat-list-item routerLink="{{nav.link}}" *ngFor="let nav of fillerNav">{{nav.name}}</a>
      </mat-nav-list>
    </mat-sidenav>
    <mat-sidenav-content>
      <router-outlet></router-outlet>
    </mat-sidenav-content>
  </mat-sidenav-container>
</div>
in the sidenav1.component.ts:
import { MediaMatcher } from '@angular/cdk/layout';
import { Component, OnInit, OnDestroy, ChangeDetectorRef, ViewChild } from '@angular/core';
import { MatSidenav } from '@angular/material';
import { SidenavService } from 'src/app/services/sidenav.service';
@Component({
  selector: 'app-sidenav1',
  templateUrl: './sidenav1.component.html',
  styleUrls: ['./sidenav1.component.scss']
})
export class Sidenav1Component implements OnInit, OnDestroy {
  sidenavList1: Array<{ name: string, link: string }> = [
    { 'name': 'My profile', 'link': 'profile' },
    { 'name': 'Settings', 'link': 'settings' },
    { 'name': 'My messages', 'link': 'messages' },
    { 'name': 'Notifications', 'link': 'notifications' }];
  mobileQuery: MediaQueryList;
  fillerNav = Array.from(this.sidenavList1);
  fillerContent = Array.from({ length: 6 }, () =>
    ` --text content-- `);
  private _mobileQueryListener: () => void;
  @ViewChild('snav') public sidenav: MatSidenav;
  constructor(changeDetectorRef: ChangeDetectorRef, media: MediaMatcher, private sidenavService: SidenavService) {
    this.mobileQuery = media.matchMedia('(max-width: 600px)');
    this._mobileQueryListener = () => changeDetectorRef.detectChanges();
    this.mobileQuery.addListener(this._mobileQueryListener);
  }
  ngOnInit() {
    this.sidenavService.setSidenav(this.sidenav);
  }
  ngOnDestroy(): void {
    this.mobileQuery.removeListener(this._mobileQueryListener);
  }
}
for the other sidenav you reproduce the same procedure ...
AppComponent
in the app.component.ts:
export class AppComponent {
  title = 'my-app';
  headerType: number;
  constructor() {
    this.newHeader(1);
  }
  newHeader(headerType: string) {
    this.headerType = headerType;
  }
}
in the app.component.html
<div [ngSwitch]="headerType">
  <div *ngSwitchCase="1">
    <app-sidenav-1></app-sidenav-1>
  </div>
  <div *ngSwitchCase="2">
    <app-sidenav-2></app-sidenav-2>
  </div>
  <div *ngSwitchDefault>
    Default content
    <router-outlet></router-outlet>
  </div>
</div>