Locus uses Openstreetmap data by default, what parts of CyclOSM and OSMAnd do you like? If you want to plan and import a route you probably want to export and then import a GPX file.
To add the CyclOSM map tiles as a layer, you do need to follow the instructions here
https://docs.locusmap.eu/doku.php?id=manual:advanced:customization:online_maps
Using the tile server url displayed when you click the "i" information button on https://www.cyclosm.org