With the new Update to the extension, the code has changed a bit, so to do this.

Turn on the option
Then, using the command from @UnKNOWn answer
Open the extensions extension.js file with below command
gedit $HOME/.local/share/gnome-shell/extensions/BringOutSubmenuOfPowerOffLogoutButton@pratap.fastmail.fm/extension.js
Reorder the menu as you wish from _createMenu() funtion, for example
_createMenu() {
let bindFlags = GObject.BindingFlags.DEFAULT | GObject.BindingFlags.SYNC_CREATE;
let forceLockDown = this._settings.get_boolean('force-lock-down');
let boolean;
// Separator1
boolean = this._settings.get_boolean('remove-separator-1');
if (!boolean) { SystemMenu.addMenuItem(separator1); };
// Suspend
suspend = new PopupMenu.PopupImageMenuItem(_('Suspend'), 'media-playback-pause-symbolic');
suspend.connect('activate', () => {
DefaultActions.activateSuspend();
});
if(!forceLockDown) {
SystemMenu.addMenuItem(suspend);
DefaultActions.bind_property('can-suspend', suspend, 'visible', bindFlags);
} else {
boolean = this._settings.get_boolean('remove-suspend-button');
if (!boolean) {
SystemMenu.addMenuItem(suspend);
// DefaultActions.bind_property('can-suspend', suspend, 'visible', bindFlags);
}
}
// Restart
restart = new PopupMenu.PopupImageMenuItem(_('Restart…'), 'system-reboot-symbolic');
restart.connect('activate', () => {
SHELL_MAJOR_VERSION >= 40 ? DefaultActions.activateRestart() : SessionManager.RebootRemote();
});
if(!forceLockDown) {
SystemMenu.addMenuItem(restart);
SHELL_MAJOR_VERSION >= 40 ? DefaultActions.bind_property('can-restart', restart, 'visible', bindFlags) :
DefaultActions.bind_property('can-power-off', restart, 'visible', bindFlags);
} else {
boolean = this._settings.get_boolean('remove-restart-button');
if (!boolean) {
SystemMenu.addMenuItem(restart);
// SHELL_MAJOR_VERSION >= 40 ? DefaultActions.bind_property('can-restart', this._restartButton, 'visible', bindFlags) :
// DefaultActions.bind_property('can-power-off', this._restartButton, 'visible', bindFlags);
}
}
// Logout
logout = new PopupMenu.PopupImageMenuItem(_('Log Out'), 'system-log-out-symbolic');
logout.connect('activate', () => { DefaultActions.activateLogout(); });
if(!forceLockDown) {
SystemMenu.addMenuItem(logout);
DefaultActions.bind_property('can-logout', logout, 'visible', bindFlags);
} else {
boolean = this._settings.get_boolean('remove-logout-button');
if (!boolean) {
SystemMenu.addMenuItem(logout);
// DefaultActions.bind_property('can-logout', logout, 'visible', bindFlags);
}
}
// Separator2
boolean = this._settings.get_boolean('remove-separator-2');
if (!boolean) { SystemMenu.addMenuItem(separator2); };
// Power
power = new PopupMenu.PopupImageMenuItem(_('Power Off…'), 'system-shutdown-symbolic');
power.connect('activate', () => { DefaultActions.activatePowerOff(); });
if(!forceLockDown) {
SystemMenu.addMenuItem(power);
DefaultActions.bind_property('can-power-off', power, 'visible', bindFlags);
} else {
boolean = this._settings.get_boolean('remove-power-button');
if (!boolean) {
SystemMenu.addMenuItem(power);
// DefaultActions.bind_property('can-suspend', suspend, 'visible', bindFlags);
}
}
// Switch User
switchUser = new PopupMenu.PopupImageMenuItem(_('Switch User…'), 'system-switch-user-symbolic');
SystemMenu.addMenuItem(switchUser)
switchUser.connect('activate', () => { DefaultActions.activatSwitchUser(); });
DefaultActions.bind_property('can-switch-user', switchUser, 'visible', bindFlags);
DefaultActions.forceUpdate();
}
You should get a menu that looks like this:
