hunter
I would check the scope, rings and rail and make sure nothing is moving on your 22" modified choke. Also, make sure you have a good lockup on your gun, no gap at the breech and no wiggle, as this will be a problem as well. Also make sure the latch, latch shelf, breech face etc. are clean and no oil present and that the gun is closed firmly.
Supposedly foster slugs shoot better out of a cylinder bore but there have been tons of deer killed with fosters out of shotguns with just about any choke imaginable. What range are you shooting? I know that are some shotguns that are very accurate with foster slugs, but I wouldn't expect foster to shoot better than about 3 to 4 inch groups at 75 yards.
The brenneke slugs that are made for smooth bore barrels have always performed better than foster slugs in my shotguns. This has been true from 410 bore up to 12 ga.
If your shotguns are 12GA, this doesn't apply to 20 ga smoothbores, and you reload, the lyman sabots that fit into a 12 ga shotcup have worked very well for me from smoothbore barrels.
BB