Really don't konw what type of rifle you are talking about but anyway. My cleaning process for a traditional ML is as follows. I fill a 3 lb coffee can or bucket with hot water and Dawn dishwashing liquid. Place breach end of barrel in this soapy water for a couple mins. Remove and take out nipple or touch hole and toss into the water. Put a pot of clean water on the stove to heat up.
Go back and scrub snail (if a percussion) with toothbrush and dip appropriate size bore brush in soapy water and scrub the barrel (whild breach end is still in soapy water container). Next is a patch on appropriately sized jag. Back and forth inside bore all the way down and up. The patch should be tight enough to create a vacuum sucking the soapy water through the snail or touch hole. Several strokes. Remove barrel from soapy water and take outside and hang barrel on nail by one of the ramrod tumblers. Put funnel in bore and pour the hot water (from stove) down the barrel. Bring in hot barrel (caution - very hot) and swab with dry patches to dry. Then an alcohol patch. I then use a patch with bore butter - some guys use gun oil.
Fish out the nipple or touch hole and dry off and clean hold with pipe cleaner. Apply anti sieze to threads and install. Wipe down barrel with quality gun oil adn reassemble rifle. Your good to go.