What is/are the specific research question/s you (and colleagues) wish to address? That, along with consideration for the type and nature of the scores with which you're working and how data were collected, should guide the choice of analytic methods.
Abhinav Bhattarai Do not perform multivariable analysis with insignificant variables from univariable analysis. Only use multivariable analysis if there are significant findings in the univariable analysis. Consider sample size and statistical power. If the research question is exploratory, use descriptive analysis first.
First of all, I don't get why you tested univariate before multivariate.
Second, what is the nature of your study and what it aims to answer? It's exploratory or it's for prediction? And what kind of model was used, a simple linear regression or something completely different?
If it's exploratory, try another method to judge the variables. If it's prediction, re-evaluate your data set and how the variables are presented.