The FiiO BTR13 is basically capable of driving the Sennheiser HD560S and HD600, but there are some important aspects to consider:

## Impedance and power
- The Sennheiser HD560S and HD600 both have an impedance of 300 ohms.
- The FiiO BTR13 can deliver up to 100mW at 32 ohms and 10mW at 300 ohms via the 3.5mm output and up to 220mW at 32 ohms and 55mW at 300 ohms via the 4.4mm balanced output.

## Power output
- The output power of the BTR13, especially via the 3.5mm output, might be a bit low for the 300 Ohm headphones, which could lead to a reduced volume. However, the 4.4mm balanced output provides more power, which could improve the operation of these headphones.

## Connection and compatibility
- The BTR13 offers both 3.5mm single-ended and 4.4mm balanced outputs, which allows flexibility for different types of headphones.

To summarise: While the FiiO BTR13 is technically capable of driving the Sennheiser HD560S and HD600, the power output, especially from the 3.5mm output, may not be sufficient to unleash the full power of these headphones. However, the 4.4mm balanced output is a better option to achieve adequate performance.