How to summarize a composer whose style and range are so great - symphonies, chamber, operas…? All written with great skill! Some pieces remind me of Shostakovich or Nielsen, others not at all! - Many of his scores call for vast forces and some are ferociously difficult to play (one of the symphonies [No. 6, I think?] caused a scandal when orchestras refused to play it because it was too difficult). It doesn't sound at all like Sibelius. I especially like the very atmospheric flute concerto.
He has indeed done a completion of Karelia, and of many other works by Sibelius too - the D minor Piano Trio movement from 1889, Ljunga Wirginia, etc. And Aho has also completed works by such composers as Klami.
Aho's Karelia is on BIS-CD-915 (as Harri M rightly points out) and is in the newly issued Box 8 of the Edition (CD-1921/23) along with an alternative version of Tableau 7 (a world première).