GeneMark-ES/ET is a self-training gene prediction tool with a special branch-point model for fungi, it is available at http://topaz.gatech.edu/GeneMark/license_download.cgi .
BRAKER is a pipeline that runs GeneMark-ES/ET and AUGUSTUS. It can also be applied to fungi (--fungi flag should be provided). BRAKER is available at https://github.com/Gaius-Augustus/BRAKER . Be aware, AUGUSTUS parameters for your target species already exist. It might not be worth retraining, but you could compare whether a novel training performs better.
Working with high quality species parameters will be of advantage when you follow the leads of Biswarup Sen and Laith Al-Ani, too, because MAKER and BUSCO both run AUGUSTUS.