This achievement requires 滿洲國 to form the Qing Empire via National Focus.
Strategy
Take the Assertiveness national focus sub-branch and build your military up. When dealing with the Bandits, one of the possible ways to deal with them is purging them, which requires that you stockpile infantry weapons then click the decision. Another way is to pacify them, which requires you have six divisions on three separate states each. The best thing to do in order to get many divisions is to pacify them. This will give several divisions of cavalry divisions. In order to pacify them, change the infantry to the weaker 3 infantry units. Train more divisions and bring the trained divisions on the field. Then, switch the cavalry to the weaker divisions. If done properly, you will only need to do one bandit event. When the Bolster Nationalism focus is reached, it is possible to recruit the cavalry from the decision and then change it to manpower by disbanding if necessary.
After dealing with the bandits, switch the divisions to the 6 infantry unit divisions. It is not necessary to upgrade the template because if you take the Staff the Court With Manchus focus then the Expand the Imperial Guards focus will give 20 width 7 infantry and 2 artillery divisions. Make sure to research artillery so it is possible to reinforce them. Build a strong army and place them on the Korean border to the east and the 蒙古國/ 日本 border to the west. 滿洲國 may join the war against the 中華民國 but do not help. This is so the Japanese will be weaker when 滿洲國 goes to war with them. Wait until Japan weakens China (when Japan controls most of the coast) to take the Independence War focus. If the Japanese are close to your border, it indicates that they both haven't fought long enough.
Once ready, Take the Independence War focus and take all of Korea first. This is so that there will only be one front needed to fight in. Have garrisons in the ports so the 日本 don't naval invade. Take as much Chinese territory as possible. This is because if 中華民國 surrenders, 日本 will take territory belonging to the Chinese not under 滿洲國 control. This will also give them more surrender progress against 滿洲國 It may be beneficial to take the Offer Vassalization focus to vassalize the warlords if the war is going badly. be aware that you have to annex the warlords afterwards via the puppet mechanic introduced in Together for Victory. Peace out with 中華民國 first. This way, 滿洲國 will control if 日本 would white peace after they get kicked out of Asia or not. Once 中華民國 has surrendered, annex all land and push 日本 out of Asia. To take the Mandate of Heaven focus, you will need all of mainland China minus the European treaty ports so annex all of the warlord puppets if there are any. For The Dragon Swallowed the Sun achievement, do not let 日本 peace out as you will need to annex them.