Check your engine oil level periodically to see how much engine oil you are losing.
The manual transmission does not have a dipstick, so you have to remove the top fill bolt on the transmission and feel if transmission fluid is filled to the top with your finger.
I am not sure what they meant by the frame gasket?
You need to find the highest point on the engine where oil is leaking from to identify the source of an oil leak. Common spots from the top to the bottom are: valve cover, distributor, vtec solenoid, oil pressure sending unit, seals behind timing belt cover, oil pan.
As for the transmission, make sure that oil is not leaking from the distributor on to the top of the transmission. There are only a couple of places that I can think of that would leak transmission fluid. The axle seals or the gasket for the housing.
You just need to locate the source of the leak.
2005 Acura TSX MT