To catch a raccoon, the trap should be beside something solid. A wall for example works very well. Put the bait in the back of the trap where the raccoon can't get it by reaching in from the side. Tie the trap down so that the raccoon can't overturn it. The raccoon will walk around the trap, eventually find the opening and go in.
If you happen to have 2 live traps, set and bait both of them and put them beside each other facing opposite directions. Tie them together so they can't be rolled. Raccoons will investigate an opening beside the bait and the rest is history.
If there is one raccoon, there are many raccoons. While they are territorial to some extent, there will often be a dozen or more per square mile. The highest I've ever seen was over 200 raccoons coming to a dumpster near an apartment complex. Someone in the apartments was feeding them.