2 quarts in 5,000 miles is excessive, I change my oil every 5,000 miles and it only looses about 0.5 quarts. I run Walmart, O'Reilly, AutoZone, whatever 5w30, the oil weight these engines were designed for, and I'm at 170,000 miles. I would do a leak down test to make sure there's no problem with the rings, and if they're good it's probably valve seals. If it's not leaking on the ground, it's going out the exhaust.
Note: I had a customer swear he was having to add a quart after the first 1000 miles on an oil change. Ended up he was using oil in a bulk 1 gallon jug and thought it was 5 quarts (a gallon is only 4 quarts for those who don't know) and then only adding 1 quart. So he was filling only 5 of the 6 quarts required, then checking at the 1000 mile mark and it was 1 quart low. He was pretty embarrassed, but glad he didn't need a rebuild!