The role of social influence (SI) as a determining factor in accepting new technologies has been addressed in several studies using the initial or extended technology acceptance model (TAM). This research uses an adaptation of the extended technology acceptance model (TAM) to analyze the behavioral intention of Romanian consumers regarding the use of energy efficiency smart solutions (EESS) under the effect of social influence. Data were processed with the structural equation modeling technique (PLS-SEM). The sample consisted of 302 domestic electricity consumers in Romania. The study’s findings show that the respondents’ perceptions of the two social influence dimensions—network of friends, colleagues, or family (SI_FF); and public space (SI_PS)—and their effects on other conceptual model variables are significantly different. The main implications highlight that the proposed model addresses social influence on two levels (SI_FF and SI_PS), to highlight not only the differences in users’ perceptions, but also the main directions in which efforts to promote these technologies should be focused more intensively, in the context of implementing European policies regarding the reduction of energy consumption at the level of household consumers. An important component of the proposed model is the analysis of the role of hedonic motivation constructs, expected performance, perceived usefulness, and perceived ease of use in mediating the relationship between social influence and behavioral intention to use.