Buying debt is saving, they're the same thing.
Government expenditure increases total expenditure by G. However, the rise in interest rates depresses investment, decreasing total expenditure. The increase in G should exceed the decrease in I (except in the case of 100% crowding out).
Now, remember the Keynesian consumption function says that consumption is a function of income. As income has risen, consumption will also rise. Whilst the marginal propensity to consume might fall, the total value of consumption should still rise.