Gen. FORREST, after his raid on Memphis, sent the following official report to Gen. MAURY: HERNANDO, Aug. 21. I attacked Memphis at 4 o'clock this morning, driving the enemy to his fortifications.

MEMPHIS, Monday, Aug. 22. The rebel raid into this city yesterday, was a complete failure, and is so admitted by Gen. FORREST. His intention was to capture Gen. WASHBURN and other Generals.