I mean okay, money flows into US "saving accounts", but due to higher interest rate a lot of investments will be put on hold, no?
The Fed raised the target federal funds rate, which is the rate of the interbank overnight repo market, which is basically the "back office" clearing house between the accounts of creditors and debtors. And all of this means that the NY Fed's trading desk does a lot of open market transactions to reach that goal. (It converts cash in banks' reserve accounts into US Treasury bonds, thus forcing banks to increase their reserves - to meet requirements, hence forcing banks to loan reserves from other banks, which pushes up the overnight repo rate.)
How does this effect the US Treasury bond auction rate? (In theory banks [and other primary dealers that participate in the auction] just use loans (excess reserve) to buy bonds, so if excess reserve is less, then fewer banks are able/willing to buy bonds, so yes, that pushes up rates, but the target-FFR increase only affected US banks, and US T-bills are bought by a lot of foreign entities.)