In The Netherlands there were initially many problems with the production of machine struck coins. In several instances recourse had to be made to the older manual methods for one or more of the production steps. After 1720-1750 the problems were mostly solved and coins were made using machines. The next step was taken in 1818 when steam was introduced in the Utrecht Mint (by then the only remaining mint in the Netherlands) and all 40 screw presses in used were being powered by steam. This lasted only a few years as in the early 1820's Uhlhorn presses were acquired. The development in minting techniques at the Utrecht, and other Netherlands Mint is described in: C. Hoitsema and Jhr. F. Feith, De Utechtsche Munt, uit haar verleden en heden. Utrecht (1912).
So there was no change in the method of production around 1795, from say 1750 to 1818 the techniques used for minting remained the same.
The screw presses were driven by Human energy until the introduction of steam. This was not only the case in Utrecht but also at the Tower Mint in London as is shown by the below drawing of a minting scene at the Tower Mint in the early 19th century.
The problem with automating screw pressing and to provide them with non-human power is that not only the up and down movement of the dies has to be automated but also the insertion and removal of the planchet. This problem was solved by Bolton and Watt in 1786 with their steam operated coining presses.
Of course there exist other means of striking eg. by rolling a strip of metal between dies or by a rocking process using a planchet. These methods are rather difficult to use and it is also difficult to make round coins. As this methods tends to yield oval coins. This method was used in Segovia and some other mints in Austria but never became widely used.