MacBook Pro 13” 2019 (A2159) Battery and Top Case

The TouchBar is part of the Top Case Assembly.

However, the Touchbar has two connections to the Logic Board. So the Touchbar issue could be due to either component, but the physical Touchbar is probably the more likely.

I don't usually recommend repairing these USB-C Intel Macs for multiple reasons, but a battery replacement is one of those times where a good case could be made for both options.

I will warn you that you do need to hope that the Apple tech focuses on the Battery issue and ignores any Keyboard or Touchbar issues or the repair will jump to over twice the cost even though the same part is used. Who knows what the Apple tech will actually do if they see the Touchbar issue. FYI, Apple is no longer including the Trackpad with the Top Case Assembly.

Touch Bar is NOT included in the battery/keyboard/trackpad/TopPlate assembly

TouchBar is part of the mainboard.

I stand corrected.

HWTech repairs these Mac regularly, and they know the real story.

My less-than-adequate response above was based on user reports here that suggested a battery replacement was often not adequate to fix Touch Bar issues.