I don’t know Greek as well as English either and the Greek word translated to “according to” I admit does have a whole lot of meanings. Even the term “in keeping with” in my opinion suggests that His predestination was the result of His foreknowledge. He predestined us before creation. His foreknowledge is something that was foreseen in the future. So before creation He foresaw something that He based His predestination on. Predestined is the action that took place, the effect of what He had foreseen in the future it’s a verb. Foreknowledge is what the action was based on or a result of, it’s a noun.
Ok here’s a side question that might shed some light on this topic. Why did Jesus die for the sins of the whole world?
“My little children, I am writing these things to you so that you may not sin. And if anyone sins, we have an Advocate with the Father, Jesus Christ the righteous; and He Himself is the propitiation for our sins; and not for ours only, but also for those of the whole world.”
1 John 2:1-2 NASB1995
“We have seen and testify that the Father has sent the Son to be the Savior of the world.”
1 John 4:14 NASB1995