From manitoba. can you transfer 5000 tuittion to parents for both provinical and fedefal for a total of 10000 if the origianl amount of tuition if 5244?

There is no total of $10000. You are transferring $5000 of your tuition on your Federal return, and then $5000 of the same tuition, but on your provincial return. You aren't going over $5244, you are just using it twice.