https://psychology.victoria.ac.nz/modgraph/modgraph.php

PROCESS has always allowed dichotomous independent variables and moderators. Because the mathematics is the same for dichotomous X, W, and/or Z as it is for continuous variables, just put your dichotomous variable(s) in the PROCESS command or menu for X, W, and/or Z.  You should NOT use the multi categorical option with a dichotomous independent variable or moderators.  A multi categorical variable has three or more categories. In earlier releases of version 3, using the multi categorical option with a dichotomous independent variable or moderator could, in some circumstances, produce incorrect output. As of version 3.3, PROCESS won't let you specify X, W, or Z as multi categorical when dichotomous.  

Note that you should never put a multi categorical variable in as X, W, or Z without telling PROCESS that the variable is multi categorical using the multi categorical option.  Doing so will generally produce nonsense output.

Moreover, check the template file for a suitable model type for your model. I do not see any model with 1 IV, 1 MOD, and 2 DVs. However, according to my understanding, you can use Model no. 1 twice for a different DV each time.

Check out version history; http://processmacro.org/version-history.html

Check out the FAQ by Process Macro; http://processmacro.org/faq.html

If I understand your question you need a multivariate model since you have 2 DVs.

Unfortunately, the literature confuses multivariate with multivariable. So first go to this link: mediation and moderation model research virginia - Bing this will give the appropriate RHSs for your models with examples in R if you hunt around. Now the easiest way to run a multivariate regression is also in R. See: multivariate regression in r - Bing

Now basically your 2 DVs go in the LHS of this model, the last link shows you how . For details on Multivariate Regression see that chapter in: Applied Multivariate Statistical Analysis (6th Edition) | Richard A. Johnson, Dean W. Wichern | download (b-ok.cc) Now to help you use R see this link: R for everyone: advanced analytics and graphics | Lander, Jared P | download (b-ok.cc)

The reason you need to do this is because Hayes only handles one DV not two. My approach becomes the easiest then. To see why the terminology is all messed up see: Differences between multivariable and multivariate - Bing . Apologies for this difficulty. Please ask if you have further questions. Good Luck, David Booth

PS remember terminology matters

Hassan Javed, you can alternatively consider estimating your model within multi-group structural equation modelling (MG-SEM) framework using software like AMOS, R's lavaan, Stata, or Mplus. The latter three software will also enable you to test the difference between the coefficients (IV->DV1 and IV->DV2) in your groups.

https://psychology.victoria.ac.nz/modgraph/modgraph.php