Mfcttrf

I have trouble generating bibliography in ASME template (https://www.latextemplates.com/template/asme). My packages are standard for Polish:

usepackage[T1]fontenc
usepackage[polish]babel
usepackage[utf8]inputenc

The problem is, I can't generate bibliography. I suppose it's either because of custom class documentclass[twocolumn,10pt]asme2ej or because of custom bibliography style bibliographystyleasmems4, although I've tried regular BiBTeX styles and they don't work. I properly get "Literatura" instead of "References" where bibliography caption should be, it just doesn't generate below and I have numerous [?] in text where [1], [2] etc. should be.

EDIT:

Full reproductible example:

documentclass[twocolumn,10pt]asme2ej

usepackage[T1]fontenc
usepackage[polish]babel
usepackage[utf8]inputenc
usepackageepsfig

begindocument

% a lot of text
citeText1
% a lot of test
citeText2
% a lot of text

bibliographystyleasmems4
bibliographyasme2e

% nothing generates except for "Literatura" caption

enddocument

Text1 and Text2 are any BiBTeX-legal citations, I use some dummy examples at the moment for testing - changing them doesn't change anything in bibliography.

I sympathize with people forced to use document classes that are outdated and use funny code that's incompatible with babel.

The class you need falls in this category: for instance advertises usage of epsfig, which has been obsolete for more than 20 years; similarly obsolete is mathptm.

The code contains a modified version of cite.sty, which turns out to fail when babel is loaded. Since the main aim is to compact references, my advice is to load cite and hope for the best.

beginfilecontents*jobname.bib
@articleszczesny,
 author=W. Szczkesny,
 title=How to save,
 journal=Int. J. Soccer,
 year=2019,

@articlepiatek,
 author=K. Pikatek,
 title=How to score,
 journal=Int. J. Soccer,
 year=2019,

endfilecontents*

documentclass[twocolumn,10pt]asme2ej
usepackage[T1]fontenc
%usepackage[utf8]inputenc
usepackage[polish]babel
usepackagecite

titleTytuł artykułu

authorA. Utoraffiliationabc

begindocument

maketitle 

beginabstract
Abstrakcyjny
endabstract

sectionWprowadzenie

citeszczesny and citepiatek

bibliographystyleasmems4

bibliographyjobname

enddocument

There is a newer ASME template here: https://ctan.org/pkg/asmejour. Building on egreg's answer, here is a start. Sorry for the mash-up of languages in this example.

% !TEX encoding = UTF-8 Unicode 
beginfilecontents*jobname.bib
@articleszczesny,
 author=W. Szczkesny,
 title=How to save,
 journal=Int. J. Soccer,
 year=2019,

@articlepiatek,
 author=K. Pikatek,
 title=How to score,
 journal=Int. J. Soccer,
 year=2019,

endfilecontents*

documentclassasmejour

usepackage[T1]fontenc
usepackage[utf8]inputenc
usepackage[polish]babel
selectlanguagepolish
usepackagelipsum

JourNameHeat Transfer 
PreprintStringPreprint do recenzji % <=== this command may not be in TeX Live yet.

begindocument

SetTitleTytuł artykułu 
keywordsLaTeX, Polish, ASME
SetAuthorBlockA. UtorInstitute of Fluid-Flow Machinery \ Polish Academy of Sciences\ Gen. J. Fiszcra 14 \ PL 80-952 Gdańsk, Poland

SetAbstractAbstrakcyjny Język polski, polszczyzna, skrót: pol. – język naturalny należący do grupy języków zachodniosłowiańskich (do której należą również czeski, słowacki, kaszubski, dolnołużycki, górnołużycki i wymarły połabski), stanowiącej część rodziny języków indoeuropejskich. Polszczyzna jest jednym z oficjalnych języków Unii Europejskiej.

MakeTitlePage

sectionWprowadzenie
lipsum[1]
beginequation
mathbfF=mmathbfa
endequation 
Język polski citeszczesny. Polszczyzna jest jednym z oficjalnych języków Unii Europejskiej citepiatek.

bibliographystyleasmejour
bibliographyjobname

enddocument